query: Proof in Intuitionistic logic: $\neg \neg A \to \neg \neg B \vdash \neg \neg (A \to B)$
positive_passages.docid: 147947
positive_passages.text: Does double negation distribute over implication intuitionistically?
negative_passages.docid: 6113
negative_passages.text: Proof of Strong principle of Induction (T. Tao Analysis I)
negative_passages.docid: 20581
negative_passages.text: How to show that $\Gamma\vdash (\varphi\to\neg\varphi)\to\varphi$?
negative_passages.docid: 31846
negative_passages.text: Does $\neg(x > y)$ imply that $y \geq x$?
negative_passages.docid: 58186
negative_passages.text: Set theory proof, $\exists g(g\colon A\twoheadrightarrow C)$ or $\exists h(h\colon C\hookrightarrow B)$
negative_passages.docid: 91861
negative_passages.text: Propositional Logic: p → q, ¬p → r, ¬q → ¬r ⊢ q
negative_passages.docid: 89535
negative_passages.text: fake proof of $\forall a. \forall b. a = b \to 1 = 0$
negative_passages.docid: 6535
negative_passages.text: Proof of for-all / there-exists "negation"?
negative_passages.docid: 87955
negative_passages.text: How to prove that $P \rightarrow Q$ is equivalent with $\neg P \lor Q $?
negative_passages.docid: 46939
negative_passages.text: Natural deduction, Proof $\vdash$ $P\Rightarrow(Q\Rightarrow P)$
negative_passages.docid: 111862
negative_passages.text: Proof for sequent (Logic)
negative_passages.docid: 31299
negative_passages.text: Using the Fitch system, how do I prove $((p \implies q) \implies p)\implies p$?
negative_passages.docid: 87257
negative_passages.text: How to prove this sequent using natural deduction?
negative_passages.docid: 92492
negative_passages.text: Natural Deduction: $(p \lor q)\to r\vdash p \to r$ and $p\to\neg q\leftrightarrow(r\lor s),\neg s\vdash (p\land \neg q)\to r$
negative_passages.docid: 88104
negative_passages.text: Prove "$(p \lor q) \land (\neg p \lor r)) \rightarrow (q \lor r)$" is a tautology
negative_passages.docid: 123458
negative_passages.text: Prove $( \lnot C \implies \lnot B) \implies (B \implies C)$ without the Deduction Theorem
negative_passages.docid: 32244
negative_passages.text: Propositional Logic - Deduction