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$p \to (q\vee\neg r), \neg q, r ⊢ \neg p$ - Natural deduction- elimination with $\neg$ operator

score 1.2k · Answer 1 · 2026-04-12 23:24:03

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$p \to (q\vee\neg r), \neg q, r ⊢ \neg p$ - Natural deduction- elimination with $\neg$ operator

Published on 12 Apr 2026 - 23:24

score 1.8k · Answer 2 · 2026-03-27 10:12:48

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prove $( \lnot \lnot p \Rightarrow p) \Rightarrow (((p \Rightarrow q ) \Rightarrow p ) \Rightarrow p )$ with intuitionistic natural deduction

Published on 27 Mar 2026 - 10:12

score 97 · Answer 3 · 2026-03-27 10:10:49

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$p\to\neg q, q \vdash \neg p$- natural deduction

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score 158 · Answer 4 · 2026-04-03 01:05:47

158

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Propositional Logic : Why is ((p $\Rightarrow$ r) $\land$ (q $\Rightarrow$ r)) $\equiv$ ((p $\lor$ q) $\Rightarrow$ r)

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score 91 · Answer 5 · 2026-04-11 01:09:30

91

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score 127 · Answer 6 · 2026-04-11 21:31:04

127

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score 3.9k · Answer 7 · 2026-04-13 13:23:07

3.9k

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score 46 · Answer 8 · 2026-04-13 11:11:00

46

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score 3k · Answer 9 · 2026-03-27 16:53:50

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Propositional Logic Help: $(\neg p \wedge (p \vee q)) \rightarrow q $ is a tautology

Published on 27 Mar 2026 - 16:53

score 1.1k · Answer 10 · 2015-02-01 06:26:07

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Propositional Logic Tautology Proof

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233

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score 2.5k · Answer 13 · 2026-04-09 02:35:44

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score 90 · Answer 14 · 2026-04-11 09:29:56

90

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Is it valid to make an assumption that directly contradicts a given premise?

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score 97 · Answer 15 · 2015-02-02 20:56:51

97

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Proving that $\{p\to q, p\to \neg q\}\Rightarrow\neg p$

Published on 02 Feb 2015 - 20:56

List Question

$p \to (q\vee\neg r), \neg q, r ⊢ \neg p$ - Natural deduction- elimination with $\neg$ operator

prove $( \lnot \lnot p \Rightarrow p) \Rightarrow (((p \Rightarrow q ) \Rightarrow p ) \Rightarrow p )$ with intuitionistic natural deduction

$p\to\neg q, q \vdash \neg p$- natural deduction

Propositional Logic : Why is ((p $\Rightarrow$ r) $\land$ (q $\Rightarrow$ r)) $\equiv$ ((p $\lor$ q) $\Rightarrow$ r)

Proving a variable true through rules of inference

Prove $ \vdash \alpha \to \alpha $ in minimal logic of Hilbert

Find logic expression for given truth table

Logical equivalence: Which side is better to start to obtain the other?

Propositional Logic Help: $(\neg p \wedge (p \vee q)) \rightarrow q $ is a tautology

Propositional Logic Tautology Proof

Principle of propositional congruence

Proving equivalency using boolean algebra laws of logic

How to express the statement "not all rainy days are cold" using predicate logic?

Is it valid to make an assumption that directly contradicts a given premise?

Proving that $\{p\to q, p\to \neg q\}\Rightarrow\neg p$

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