*To*: Lars Noschinski <noschinl at in.tum.de>*Subject*: Re: [isabelle] Simpler theorem statements, and proofs for them [Re: Started auction theory toolbox; announcement, next steps, and questions]*From*: Christoph LANGE <c.lange at cs.bham.ac.uk>*Date*: Thu, 22 Nov 2012 17:03:12 +0000*Cc*: cl-isabelle-users at lists.cam.ac.uk*In-reply-to*: <50AE4CF2.2030809@in.tum.de>*Organization*: University of Birmingham*References*: <50916DB3.4030707@cs.bham.ac.uk> <B342CF2B-EEC3-4932-A98D-193702F57A14@cam.ac.uk> <5091CE53.6020006@cs.bham.ac.uk> <C76381F2-5127-48DF-B198-DE2B3AABEAB1@cam.ac.uk> <50AE3314.8060002@cs.bham.ac.uk> <50AE4CF2.2030809@in.tum.de>*User-agent*: Mozilla/5.0 (X11; Linux x86_64; rv:16.0) Gecko/20121029 Thunderbird/16.0.1

2012-11-22 16:04 Lars Noschinski:

On 22.11.2012 15:13, Christoph LANGE wrote:assumes assm1: "p n" and assm2: "q n" and assm3: "r n" shows "s n" using assms (* <-- now this became necessary, otherwise even "case 0" would fail, but why? *) proof (induct n)[...]case (Suc n) (* and now I have to explicitly restate all assumptions: *) assume assm1: "p (Suc n)" assume assm2: "q (Suc n)" assume assm3: "r (Suc n)" ...You don't need to restate your assumptions here: They are all stored in "Suc" (or Suc.prems, which omits the hypotheses added by induction).

Thanks, that's very helpful!

Cheers, Christoph -- Christoph Lange, School of Computer Science, University of Birmingham http://cs.bham.ac.uk/~langec/, Skype duke4701 → Enabling Domain Experts to use Formalised Reasoning @ AISB 2013 2–5 April 2013, Exeter, UK. Deadlines 10 Dec (stage 1), 14 Jan (st. 2) http://cs.bham.ac.uk/research/projects/formare/events/aisb2013/

**Follow-Ups**:

**References**:**[isabelle] Simpler theorem statements, and proofs for them [Re: Started auction theory toolbox; announcement, next steps, and questions]***From:*Christoph LANGE

**Re: [isabelle] Simpler theorem statements, and proofs for them [Re: Started auction theory toolbox; announcement, next steps, and questions]***From:*Lawrence Paulson

**Re: [isabelle] Simpler theorem statements, and proofs for them [Re: Started auction theory toolbox; announcement, next steps, and questions]***From:*Christoph LANGE

**Re: [isabelle] Simpler theorem statements, and proofs for them [Re: Started auction theory toolbox; announcement, next steps, and questions]***From:*Lars Noschinski

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