Recent questions tagged coq

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coq - Theorem that finding in a list works properly

I am proving theorem about finding in a list. I got stuck at proving that if you actually found something ... com/questions/65843830/theorem-that-finding-in-a-list-works-properly...

asked Oct 7, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq - Error when referencing type variable from another file

I am working upon formalization of groups theory in coq. I have 2 files: groups.v - contains ... questions/65908229/error-when-referencing-type-variable-from-another-file...

asked Oct 7, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq - Printing ssrnat's ".+1" definition

In Ilya Sergey's Programs and Proofs, ssrnat's command .+1 is introduced and used for defining some ... :https://stackoverflow.com/questions/65931381/printing-ssrnats-1-definition...

asked Oct 7, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq - prove a lemma sum of all elements of a list l is equal to n, (sortascend n) is equal to n

following is the one I'm having trouble with. Lemma sum_asc_dec_eq : forall k1 n , addmem_list( k1) = n -> addmem_list( ... elements-of-a-list-l-is-equal-to-n-sortascend-n-is-e...

asked Oct 7, 2021 in Technique[技术] by 深蓝 (71.8m points)

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564 views

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coq - How to simplify counting relation between natural numbers

I want to prove the following lemma. I am calling two functions, one is (f_value) defined below. ... questions/65599017/how-to-simplify-counting-relation-between-natural-numbers...

asked Oct 7, 2021 in Technique[技术] by 深蓝 (71.8m points)

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698 views

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coq - Coq定理证明：Peano算术中的简单分数定律(Coq theorem proving: Simple fraction law in peano arithmetic)

I am learning coq and am trying to prove equalities in peano arithmetic. (我正在学习coq，并试图证明Peano算术中的相等性 ) I got stuck on a ... 档的长期研究，我没有找到答案 ) ask by Falco Winkler translate from so...

asked Mar 6, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq - Coq定理证明：Peano算术中的简单分数定律(Coq theorem proving: Simple fraction law in peano arithmetic)

I am learning coq and am trying to prove equalities in peano arithmetic. (我正在学习coq，并试图证明Peano算术中的相等性 ) I got stuck on a ... 档的长期研究，我没有找到答案 ) ask by Falco Winkler translate from so...

asked Mar 6, 2021 in Technique[技术] by 深蓝 (71.8m points)

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588 views

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coq - Coq定理证明：Peano算术中的简单分数定律(Coq theorem proving: Simple fraction law in peano arithmetic)

I am learning coq and am trying to prove equalities in peano arithmetic. (我正在学习coq，并试图证明Peano算术中的相等性 ) I got stuck on a ... 档的长期研究，我没有找到答案 ) ask by Falco Winkler translate from so...

asked Feb 21, 2021 in Technique[技术] by 深蓝 (71.8m points)

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590 views

1 answer

coq - How to simplify counting relation between natural numbers

I want to prove the following lemma. I am calling two functions, one is (f_value) defined below.Second one is l_count - it requires two input ... -> (0 = f_value ((S n) l + S p)l)....

asked Feb 19, 2021 in Technique[技术] by 深蓝 (71.8m points)

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662 views

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coq - How to print 'forall' as 'Π' in a one-time setting in coqdoc?

I was able to get coqdoc to print forall as Π, using (** printing forall %Π% #Π# *). However, it is a pain to add ... are not part of ASCII. That may have something to do with it....

asked Feb 17, 2021 in Technique[技术] by 深蓝 (71.8m points)

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567 views

1 answer

coq - How to print 'forall' as 'Π' in a one-time setting in coqdoc?

I was able to get coqdoc to print forall as Π, using (** printing forall %Π% #Π# *). However, it is a pain to add ... are not part of ASCII. That may have something to do with it....

asked Feb 17, 2021 in Technique[技术] by 深蓝 (71.8m points)

0 votes

548 views

1 answer

coq - How to print 'forall' as 'Π' in a one-time setting in coqdoc?

I was able to get coqdoc to print forall as Π, using (** printing forall %Π% #Π# *). However, it is a pain to add ... are not part of ASCII. That may have something to do with it....

asked Feb 17, 2021 in Technique[技术] by 深蓝 (71.8m points)

0 votes

548 views

1 answer

coq - Why do Calculus of Construction based languages use Setoids so much?

One finds that Setoids are widely used in languages such as Agda, Coq, ... Indeed languages such as Lean have argued ... HoTT (such as cubical Agda) reduce the need for Setoids?...

asked Jan 29, 2021 in Technique[技术] by 深蓝 (71.8m points)

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757 views

1 answer

coq - Why do Calculus of Construction based languages use Setoids so much?

One finds that Setoids are widely used in languages such as Agda, Coq, ... Indeed languages such as Lean have argued ... HoTT (such as cubical Agda) reduce the need for Setoids?...

asked Jan 29, 2021 in Technique[技术] by 深蓝 (71.8m points)

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