Question

Implication Introduction in reverse way

score 170 · Answer 1 · 2026-02-23 15:11:18

170

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Implication Introduction in reverse way

Published on 23 Feb 2026 - 15:11

score 2.2k · Answer 2 · 2026-03-28 08:40:10

2.2k

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Given ∃y.∀x.p(x,y), use the Fitch system to prove ∀x.∃y.p(x,y).

Published on 28 Mar 2026 - 8:40

score 84 · Answer 3 · 2017-04-19 20:31:23

84

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Let $Y = \{y_n\}$ be defined inductively by $y_1=1$ , $y_{n+1} = \frac 14\left(2y_n +3\right)$. Show that $\lim_{n\to \infty}y_n=\frac 32$

Published on 19 Apr 2017 - 20:31

score 2.7k · Answer 4 · 2026-03-28 08:42:11

2.7k

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Given ∃x.¬p(x), use the Fitch System to prove ¬∀x.p(x).

Published on 28 Mar 2026 - 8:42

score 834 · Answer 5 · 2017-04-20 09:24:58

834

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Giving a formal proof of p ⇒(q ⇒ r) $\vdash$ (p ⇒ r)∨(q ⇒ r) using the rules of inference.

Published on 20 Apr 2017 - 9:24

score 55 · Answer 6 · 2017-04-22 22:44:20

55

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Elementary proof that $\Bbb Z[\sqrt d]$ is an ordered ring

Published on 22 Apr 2017 - 22:44

score 83 · Answer 7 · 2017-04-23 05:35:11

83

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Elementary Hoare logic proof

Published on 23 Apr 2017 - 5:35

score 755 · Answer 8 · 2017-04-24 05:17:44

755

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Fitch proof for $(p \implies (q \implies r)) \implies ((p \implies q) \implies (p \implies r))$ with no premises

Published on 24 Apr 2017 - 5:17

score 46 · Answer 9 · 2017-04-24 23:42:00

46

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Prove by the method of Mathematical induction that $(1-0.3)^n \geq 1-0.3n$ for all $n$ in set of positive integers

Published on 24 Apr 2017 - 23:42

score 1.6k · Answer 10 · 2017-05-07 19:30:26

1.6k

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Using the Intermediate Value Theorem to prove the existence of a number$\;$

Published on 07 May 2017 - 19:30

score 48 · Answer 11 · 2017-05-10 19:30:04

48

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Where to start on a basic derivation?

Published on 10 May 2017 - 19:30

score 159 · Answer 12 · 2026-03-26 03:01:41

159

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How to express induction when we just have finitely many instances, but still proceed inductively over them

Published on 26 Mar 2026 - 3:01

score 437 · Answer 13 · 2026-03-28 10:17:25

437

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Solving theorem proof with only primitive rules of logic!

Published on 28 Mar 2026 - 10:17

score 118 · Answer 14 · 2026-03-27 07:52:06

118

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Triangulation proofs

Published on 27 Mar 2026 - 7:52

score 106 · Answer 15 · 2026-03-28 10:16:00

106

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Proving that this statement is a theorem of our proof system

Published on 28 Mar 2026 - 10:16

List Question

Implication Introduction in reverse way

Given ∃y.∀x.p(x,y), use the Fitch system to prove ∀x.∃y.p(x,y).

Let $Y = \{y_n\}$ be defined inductively by $y_1=1$ , $y_{n+1} = \frac 14\left(2y_n +3\right)$. Show that $\lim_{n\to \infty}y_n=\frac 32$

Given ∃x.¬p(x), use the Fitch System to prove ¬∀x.p(x).

Giving a formal proof of p ⇒(q ⇒ r) $\vdash$ (p ⇒ r)∨(q ⇒ r) using the rules of inference.

Elementary proof that $\Bbb Z[\sqrt d]$ is an ordered ring

Elementary Hoare logic proof

Fitch proof for $(p \implies (q \implies r)) \implies ((p \implies q) \implies (p \implies r))$ with no premises

Prove by the method of Mathematical induction that $(1-0.3)^n \geq 1-0.3n$ for all $n$ in set of positive integers

Using the Intermediate Value Theorem to prove the existence of a number$\;$

Where to start on a basic derivation?

How to express induction when we just have finitely many instances, but still proceed inductively over them

Solving theorem proof with only primitive rules of logic!

Triangulation proofs

Proving that this statement is a theorem of our proof system

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