Niels
							
						 
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						431e1b1048
					 | 
					
						
						
							
							No singletons if the underlying type isnt a set
						
						
						
						
						
						
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						2017-08-24 14:37:38 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						8a1405a1d8
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							A cons-based induction principle for FSets
						
						
						
						
						
						
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						2017-08-19 18:56:33 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						39d888951e
					 | 
					
						
						
							
							Merge branch 'master' of https://github.com/nmvdw/HITs-Examples
						
						
						
						
						
						
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						2017-08-18 11:34:41 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						41b952e0d0
					 | 
					
						
						
							
							Added alternative definition of k-finite via subobjects
						
						
						
						
						
						
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						2017-08-18 11:34:04 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						29f3f31cec
					 | 
					
						
						
							
							Improved lattice hints
						
						
						
						
						
						
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						2017-08-18 11:18:37 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						da60017367
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							Interval is K-finite
						
						
						
						
						
						
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						2017-08-17 22:46:47 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						8ff54def39
					 | 
					
						
						
							
							Removed View_rec2
						
						
						
						
						
						
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						2017-08-17 17:18:57 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						ae60ac0146
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							LEM <~> all K-finite hsets are projective
						
						
						
						
						
						
						
						and LEMoo -> all K-finite objects (not just hsets) are projective 
						
						
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						2017-08-16 17:37:12 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						56d6207d07
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							Circle is Kuratowski-finite
						
						
						
						
						
						
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						2017-08-16 17:13:08 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						809382ba13
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							Every Bishop-finite set is Kuratowski-finite
						
						
						
						
						
						
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						2017-08-16 17:01:25 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						99dfd73b5a
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							K-finite objects are closed under surjections
						
						
						
						
						
						
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						2017-08-16 16:07:51 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						57a4535f87
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							B-fin => K-fin if the underlying type has decidable paths
						
						
						
						
						
						
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						2017-08-16 16:00:21 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						920fdd91ab
					 | 
					
						
						
							
							further simplifications
						
						
						
						
						
						
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						2017-08-15 22:26:26 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						e1bc900abc
					 | 
					
						
						
							
							Further simplifications in interface
						
						
						
						
						
						
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						2017-08-15 22:05:31 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						e29e978218
					 | 
					
						
						
							
							Improved interface.v
						
						
						
						
						
						
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						2017-08-15 20:08:16 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						06701dcdf8
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							Simplified proof of extensionalty and proofs in interface.v
						
						
						
						
						
						
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						2017-08-14 21:38:50 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						b274fcddfc
					 | 
					
						
						
							
							Simplified proof of extensionality
						
						
						
						
						
						
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						2017-08-14 16:39:20 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						0f6e98a377
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							Strengthened mere choice
						
						
						
						
						
						
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						2017-08-14 12:43:15 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						bf0b9f8771
					 | 
					
						
						
							
							Added simplified proof of extensionality
						
						
						
						
						
						
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						2017-08-11 14:17:47 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						5766024f95
					 | 
					
						
						
							
							path_ishprop now in extensionality
						
						
						
						
						
						
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						2017-08-11 13:15:31 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						89808c7297
					 | 
					
						
						
							
							Added proof: Bishop finite => Kuratowski finite
						
						
						
						
						
						
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						2017-08-10 17:33:56 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						33808928db
					 | 
					
						
						
							
							Clean up trailing whitespaces and an unused definition.
						
						
						
						
						
						
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						2017-08-09 18:05:58 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						31e08af1d1
					 | 
					
						
						
							
							Prove that the quotient of an implementation is isomorphic to FSet
						
						
						
						
						
						
						
						Formally, `View A <~> FSet A` 
						
						
					 | 
					
						2017-08-09 17:59:11 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						bd2ca9a0aa
					 | 
					
						
						
							
							Added separation as operation
						
						
						
						
						
						
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						2017-08-09 17:03:51 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						f08918b60c
					 | 
					
						
						
							
							Move the B-finiteness proofs and simplify them a bit
						
						
						
						
						
						
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						2017-08-09 16:01:54 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						cb0af9a36a
					 | 
					
						
						
							
							Added min function with proof of its specification
						
						
						
						
						
						
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						2017-08-09 15:11:14 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						5233fc6de9
					 | 
					
						
						
							
							Added proof that the finite sets in HoTTlibrary have no intersection and union
						
						
						
						
						
						
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						2017-08-09 12:07:43 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						c358ef1659
					 | 
					
						
						
							
							Added notation in Sub.v
						
						
						
						
						
						
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						2017-08-08 19:56:39 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						dad6686c4c
					 | 
					
						
						
							
							Make everything work with the new notation
						
						
						
						
						
						
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						2017-08-08 17:44:27 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						80dabe3162
					 | 
					
						
						
							
							Get a quotient from an implementation
						
						
						
						
						
						
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						2017-08-08 17:31:23 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						3cda0d9bf2
					 | 
					
						
						
							
							Completely fixed notation
						
						
						
						
						
						
					 | 
					
						2017-08-08 17:00:30 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
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						92bc50d79f
					 | 
					
						
						
							
							Improved notation to unicode
						
						
						
						
						
						
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						2017-08-08 15:30:12 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
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						2bdec415d9
					 | 
					
						
						
							
							Improved notatio
						
						
						
						
						
						
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						2017-08-08 15:29:50 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						de335c3955
					 | 
					
						
						
							
							Added join-semilattice
						
						
						
						
						
						
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						2017-08-08 13:45:27 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						c1dfef3cc1
					 | 
					
						
						
							
							Separated lemmas for extensionality for properties, added tactic toHProp
						
						
						
						
						
						
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						2017-08-08 13:35:28 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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						4ade6e60cc
					 | 
					
						
						
							
							Clean up the interface.v proofs
						
						
						
						
						
						
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						2017-08-08 13:18:45 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
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								Niels
							
						 
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						4a98d84cbc
					 | 
					
						
						
							
							Added separation
						
						
						
						
						
						
					 | 
					
						2017-08-08 00:41:27 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
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						76fe6faff2
					 | 
					
						
						
							
							Small improvements
						
						
						
						
						
						
					 | 
					
						2017-08-07 23:27:53 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
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						30004e1c8b
					 | 
					
						
						
							
							Added membership of product
						
						
						
						
						
						
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						2017-08-07 23:15:25 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
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						e498b93f16
					 | 
					
						
						
							
							Added product
						
						
						
						
						
						
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						2017-08-07 22:13:42 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
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						8c10ab1c0c
					 | 
					
						
						
							
							More cleaning
						
						
						
						
						
						
					 | 
					
						2017-08-07 16:57:21 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
					 | 
					
						
						
							
						
						1e373364b2
					 | 
					
						
						
							
							Some cleaning in notation
						
						
						
						
						
						
					 | 
					
						2017-08-07 16:49:46 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
					 | 
					
						
						
							
						
						1bab2206a3
					 | 
					
						
						
							
							Some cleaning
						
						
						
						
						
						
					 | 
					
						2017-08-07 16:22:55 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
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						a0844f6be4
					 | 
					
						
						
							
							Some simplifications in proofs, extra proofs for implementation
						
						
						
						
						
						
					 | 
					
						2017-08-07 15:39:01 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
					 | 
					
						
						
							
						
						d5585f32c6
					 | 
					
						
						
							
							Added basis for reflection in interface
						
						
						
						
						
						
					 | 
					
						2017-08-07 14:55:07 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
					 | 
					
						
						
							
						
						d9cde16f5a
					 | 
					
						
						
							
							Added interface of finite stes
						
						
						
						
						
						
					 | 
					
						2017-08-07 12:20:43 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					| 
						
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						6f016d1b7f
					 | 
					
						
						
							
							Remove a useless vernacular command
						
						
						
						
						
						
					 | 
					
						2017-08-03 23:25:25 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					| 
						
					 | 
					
						
						
							
						
						90d795b708
					 | 
					
						
						
							
							Correspondence between enumerated subobjects and k-finite subobjects
						
						
						
						
						
						
					 | 
					
						2017-08-03 23:22:36 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					
						
							
							
								 
								Niels
							
						 
					 | 
					
						
						
							
						
						f106be08de
					 | 
					
						
						
							
							Added merely decidable equality => LEM
						
						
						
						
						
						
					 | 
					
						2017-08-03 23:01:57 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 | 
				
			
				
					| 
						
					 | 
					
						
						
							
						
						6d3d0eda9f
					 | 
					
						
						
							
							Construct a mapping from [FSet] to enumerated subobjects
						
						
						
						
						
						
					 | 
					
						2017-08-03 18:06:39 +02:00 | 
					
					
						
						
						
							
							
							
							
							
							
							
							
						
					 |