Solve ~(P /\ Q) |- Q -> ~P in Isabelle

Solve ~(P /\ Q) |- Q -> ~P in Isabelle

By : Abdul Rehman Basim
Date : November 29 2020, 09:01 AM
Hope that helps This is an example that the quality of an SO question is many times determined by an answer, not the question. I kind of give this answer to thank M.Eberl for another useful answer, since I can't make comments.
As to a comment above, that you may be asking a homework question, the comment is valid, but if you're confused by negation, then you're mostly doomed anyway, until you make progress, so even one complete answer wouldn't help you, and here, there's no right answer.
code :
lemma "~(P ∧ Q) ==> Q --> ~P"
  by auto
lemma disj_not2: "(P | ~Q) = (Q --> P)"
lemma "~(P ∧ Q) ==> Q --> ~P"
  fix P Q :: bool
  assume "~(P ∧ Q)"
  hence "~P ∨ ~Q" by simp
  hence "~Q ∨ ~P" by metis
  thus "Q --> ~P" by metis

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Isabelle: run sledgehammer on a different machine then my normal PC where Isabelle/jEdit runs

Isabelle: run sledgehammer on a different machine then my normal PC where Isabelle/jEdit runs

By : Kristy Charmaine Del
Date : March 29 2020, 07:55 AM
This might help you There's no easy way to achieve this from the user level. But here are a couple of ideas:
Does Lueng's RegExp library work with Isabelle/ML? Is there another regex lib devs use for Isabelle/ML?

Does Lueng's RegExp library work with Isabelle/ML? Is there another regex lib devs use for Isabelle/ML?

By : Zahid Hassan Alvi
Date : March 29 2020, 07:55 AM
should help you out That is a library for Standard ML of New Jersey, which has "Standard ML" in its name, but many non-standard add-ons, like the compilation manager CM.
I don't think it is worth spending too much time on that for Isabelle/ML. E.g. the parser combinators (structure Scan) are slightly more general and more functional in style.
What is (*>*) in Isabelle?

What is (*>*) in Isabelle?

By : Jawad
Date : March 29 2020, 07:55 AM
This might help you The special comments (*<*) and (*>*) tell the document preparation system of Isabelle to not include the enclosed theory text in the generated PDF documents. They are the predecessors of the more structured tags like %invisible, which also control what appears in the generated documents. For example,
code :
lemma %invisible silly: "0 = 0" by simp
lemma silly: "0 = 0" by simp
 by(simp add: take_map(*<*) drop_map(*>*))
Is 1 / 0 = 0 according to Isabelle?

Is 1 / 0 = 0 according to Isabelle?

By : user3066000
Date : December 24 2020, 06:01 AM
hope this fix your issue Isabelle/HOL is a logic of total functions, so there is no built-in notion of a fraction or any other function application being undefined. That is, a / b is defined for all a and b, and it returns their quotient except when b is zero. But then it still has a value.
In the library, the decision was made to complete the function in such a way that x / 0 = 0. This decision simplifies many proofs, since you have to deal with less side conditions. Unfortunately it also sometimes confuses people who expect something else.
Isabelle 'fun' without 'where'?

Isabelle 'fun' without 'where'?

By : Monkey_D_Luffy
Date : March 29 2020, 07:55 AM
will help you Firstly, I do not see why fun f without where is a handy alternative to consts f. You have the latter at your disposal (but also have to specify a type), use it if you must. Moreover, consts is more primitive than commands like definition, fun, and -- in my opinion -- shouldn't be used in production code.
As for your comment on leaving constructors undefined inside a function declaration. The wording "undefined" is misleading here, since, e.g., after
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