[Agda] Introducing hypotheses
Philippe de Rochambeau
phiroc at free.fr
Sat Apr 18 17:32:03 CEST 2020
s/« which the user can then apply » /« letting the use apply them »/
> Le 18 avr. 2020 à 17:30, Philippe de Rochambeau <phiroc at free.fr> a écrit :
>
>
> Hello,
>
> I am attempting to translate a Coq proof into Agda, for learning purposes (cf. https://flint.cs.yale.edu/cs430/coq/pdf/Tutorial.pdf <https://flint.cs.yale.edu/cs430/coq/pdf/Tutorial.pdf>, p. 9):
>
> tauto₁ : ∀ (A B C : Set) → (A → B → C) → (A → B) → A → C
> tauto₁ = { }0
>
> Here’s how Coq introduces hypotheses, letting the use apply them.
>
> Coq < apply H’.
> 1 subgoal
> A : Prop
> B : Prop
> C : Prop
> H : A -> B -> C
> H’ : A -> B
> HA : A
> ============================
> A
>
> How do you do the same thing in Agda?
>
> Cheers,
>
> Philippe
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