Recent questions tagged coq

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coq - How to prove False from obviously contradictory assumptions

Suppose I want to prove following Theorem: Theorem succ_neq_zero : forall n m: nat, S n = m -> 0 = m -> False ... What is the best way to do it? See Question&Answers more detail:os...

asked Oct 24, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq tactic - Decomposing equality of constructors coq

Often in Coq I find myself doing the following: I have the proof goal, for example: some_constructor a ... equalities rather than conjunctions. See Question&Answers more detail:os...

asked Oct 24, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq - Structural recursion on a dependent parameter

I'm trying to write the sieve of Eratosthenes in Coq. I have a function crossout : forall {n:nat}, vector bool ... . Does anyone know how I can? See Question&Answers more detail:os...

asked Oct 24, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq - How to install SSReflect and MathComp in Linux?

I have successfully installed Coq 8.6 and CoqIDE in Linux (Ubuntu 17.04). However, I don't know to proceed ... that? I do have opam installed. See Question&Answers more detail:os...

asked Oct 24, 2021 in Technique[技术] by 深蓝 (71.8m points)

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coq - Difference between type parameters and indices?

I am new to dependent types and am confused about the difference between the two. It seems people usually ... programming and theorem proving? See Question&Answers more detail:os...

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

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