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Why assuming singleton elimination and definitional proof irrelevance leads to UIP, in Coq?

score 45 · Answer 1 · 2024-03-19T13:17:59.063000

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Why assuming singleton elimination and definitional proof irrelevance leads to UIP, in Coq?

45 views Asked by Henrique Guerra At 19 March 2024 at 13:17

score 118 · Answer 2 · 2023-08-14T05:40:06.580000

In cubical type theory, why are there function types that accept intervals as arguments when there are already a path type?

118 views Asked by 盛安安 At 14 August 2023 at 05:40

score 74 · Answer 3 · 2022-09-11T18:57:33.880000

Why does cubical agda choose the particular two component homogeneous path composition operator it does?

74 views Asked by Eric Dobson At 11 September 2022 at 18:57

score 300 · Answer 4 · 2022-07-01T22:39:03.367000

Agda: Failed to solve the following constraints: P x <= _X_53 (blocked on _X_53)

300 views Asked by Nuclear Catapult At 01 July 2022 at 22:39

score 239 · Answer 5 · 2022-05-26T21:38:02.077000

Unfolding terms created with `assert` in Coq

239 views Asked by Michele De Pascalis At 26 May 2022 at 21:38

score 120 · Answer 6 · 2022-04-17T11:39:38.967000

Importing HoTT library in Coq

120 views Asked by fyo At 17 April 2022 at 11:39

score 264 · Answer 7 · 2021-11-13T20:08:46.863000

How do you use the Ring solver in Cubical Agda?

264 views Asked by Junkyards At 13 November 2021 at 20:08

score 79 · Answer 8 · 2021-02-20T19:48:48.323000

In scala, what can be done to prevent compiler from cyclic summoning of implicit premises? And how to avoid them

79 views Asked by tribbloid At 20 February 2021 at 19:48

score 112 · Answer 9 · 2021-02-18T05:58:06.197000

Why does universe level restriction behave differently between inductive family and parameterized inductive type without axiom K in agda

112 views Asked by Kaa1el At 18 February 2021 at 05:58

score 120 · Answer 10 · 2020-08-10T15:16:36.360000

Coq for HoTT: proving || P-> X || -> (P-> ||X||)

120 views Asked by waphety At 10 August 2020 at 15:16

score 95 · Answer 11 · 2020-07-01T15:22:34.683000

How does one write (and debug) a two arguement dependent application, apd2, and use this to prove functoriality of such ap in agda?

95 views Asked by AudioBubble At 01 July 2020 at 15:22

score 219 · Answer 12 · 2020-06-07T02:47:34.030000

How to prove element addition is injective for a cubical finite multi set?

219 views Asked by Eric Dobson At 07 June 2020 at 02:47

score 122 · Answer 13 · 2020-05-27T23:27:17.893000

How does one use identity elimination (in agda) to prove Eckmann Hilton for higher dimensional paths in HoTT?

122 views Asked by AudioBubble At 27 May 2020 at 23:27

score 234 · Answer 14 · 2020-04-26T00:48:11.827000

How to explicitly use an induction principle in coq?

234 views Asked by AudioBubble At 26 April 2020 at 00:48

score 124 · Answer 15 · 2020-04-12T07:58:21.333000

Is this formulation of Modulo a Set?

124 views Asked by Cactus At 12 April 2020 at 07:58

score 99 · Answer 16 · 2020-03-10T17:10:03.280000

How to properly define a record with parameters in Agda?

99 views Asked by Xavier Ripoll At 10 March 2020 at 17:10

score 528 · Answer 17 · 2020-01-28T02:29:58.973000

Can I use inductive type families in Cubical Agda?

528 views Asked by Del At 28 January 2020 at 02:29

score 206 · Answer 18 · 2020-01-01T01:23:35.660000

Can we derive Uniqueness of Equality/Identity Proofs in Agda without pattern matching (using only J & K)?

206 views Asked by frabrooks At 01 January 2020 at 01:23

score 59 · Answer 19 · 2019-10-10T16:28:56.653000

Can I make a raw datatype from this kind of signature type?

59 views Asked by Cactus At 10 October 2019 at 16:28

score 144 · Answer 20 · 2019-10-05T14:49:29.500000

Representing homomorphisms without writing all laws out

144 views Asked by Cactus At 05 October 2019 at 14:49

TechQA.

List Question

Why assuming singleton elimination and definitional proof irrelevance leads to UIP, in Coq?

In cubical type theory, why are there function types that accept intervals as arguments when there are already a path type?

Why does cubical agda choose the particular two component homogeneous path composition operator it does?

Agda: Failed to solve the following constraints: P x <= _X_53 (blocked on _X_53)

Unfolding terms created with `assert` in Coq

Importing HoTT library in Coq

How do you use the Ring solver in Cubical Agda?

In scala, what can be done to prevent compiler from cyclic summoning of implicit premises? And how to avoid them

Why does universe level restriction behave differently between inductive family and parameterized inductive type without axiom K in agda

Coq for HoTT: proving || P-> X || -> (P-> ||X||)

How does one write (and debug) a two arguement dependent application, apd2, and use this to prove functoriality of such ap in agda?

How to prove element addition is injective for a cubical finite multi set?

How does one use identity elimination (in agda) to prove Eckmann Hilton for higher dimensional paths in HoTT?

How to explicitly use an induction principle in coq?

Is this formulation of Modulo a Set?

How to properly define a record with parameters in Agda?

Can I use inductive type families in Cubical Agda?

Can we derive Uniqueness of Equality/Identity Proofs in Agda without pattern matching (using only J & K)?

Can I make a raw datatype from this kind of signature type?

Representing homomorphisms without writing all laws out

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