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- From: Math Prover <mathprover AT gmail.com>
- To: "coq-club AT inria.fr" <coq-club AT inria.fr>
- Subject: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k"
- Date: Fri, 31 May 2013 21:56:14 -0700
Hi,
In my assumptions, I have something like this:
...
n: nat
========== (1/1)
...
Now, I want to tactic "magic", s.t. "magic n k" gives me the cases: n=0, n=1, ..., n=k-1, and n>=k.
So, if I were to type "magic n k", I would get:
n=0
========= (1/k+1)
...
n=1
========= (2/k+1)
...
....
n=k-1
======= (k/k+1)
....
H: n>=k
========= (k+1/k+1)
......
My question: is there anyway to do this with Ltac? In particular, although I see how to use match/try/repeat in ltac, I don't see how do I can do looping / testing of arguments? (i.e. how to embed "Z.leb n k" into my ltac).
Thanks!
- [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Math Prover, 06/01/2013
- [Coq-Club] Re: Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Math Prover, 06/01/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Yucheng Zhang, 06/01/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Math Prover, 06/01/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Pierre Courtieu, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Math Prover, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Math Prover, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Yucheng Zhang, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Math Prover, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Yucheng Zhang, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Pierre Courtieu, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Math Prover, 06/01/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", gallais, 06/03/2013
- Re: [Coq-Club] Destructing a "nat" into 0, 1, 2, 3, ..., k-1 and ">= k", Vincent Demange, 06/03/2013
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