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Re: [Coq-Club] dependent goals


Chronological Thread 
  • From: Carlos.SIMPSON AT unice.fr
  • To: Vladimir Voevodsky <vladimir AT ias.edu>, coq-club Club <coq-club AT inria.fr>, coqdev AT inria.fr
  • Subject: Re: [Coq-Club] dependent goals
  • Date: Wed, 08 Jan 2014 11:45:56 +0100

Dear Vladimir,
Laurent Chicli did something like that in this in his thesis, as an ocaml patch to the
version of coq at that time; it was called "fAssert".
---Carlos


On 01/07/2014 09:51 PM, Vladimir Voevodsky wrote:
Is there a reason why Coq's proof engine does not accept a possibility of
dependent goals? For example if I need to provide an object of an inductive
type

Inductive I := Iconstr : forall ( x0 : T0 ) ( x1 : T1 ) , I .

where T1 in general depends on x0, I would like to say "apply Iconstr." and
get provided first with the goal to fill in x0 in T0 and then with the goal to fill in
x1 in the appropriately substituted T1.

This should not be too hard to implement and it would make many proofs easier.

Vladimir.


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Carlos T. Simpson
C.N.R.S., Laboratoire J. A. Dieudonne, Universite de Nice-Sophia Antipolis

"Homotopy Theory of Higher Categories" now published!

Cambridge University Press, October 2011

http://www.cambridge.org/gb/knowledge/isbn/item6172978/

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