List questions from proof-writing

Published on 15 Apr 2026 - 16:23

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Prove that x ~ y if |x-y| $\leq$ 3 is an equivalence relation for x,y elements of the natural numbers

Published on 26 Mar 2026 - 20:16

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Prove that a sequence converges

Published on 16 Apr 2026 - 16:02

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Decomposition of vector field into solenoidal and irrotational parts.

Published on 16 Apr 2026 - 6:29

57

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Inductive Proof for Divisibilty of Elements of a Set

Published on 12 Apr 2026 - 1:46

125

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How to prove that if $(x \in Y) \implies (X \subset Y)$ and $(x \in Y) \lor (Y \subset X)$ , then $(X\subset Y) \lor (Y \subset X)$

Published on 13 Apr 2026 - 23:54

194

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Why is my textbook using a rather long proof involving sequences?

Published on 13 Apr 2026 - 13:44

1.7k

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Proving a conditional statement by induction

Published on 12 Apr 2026 - 20:09

94

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Non-surjectivity of a function

Published on 08 Apr 2026 - 16:14

223

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Another way proof $1/2-1/3=1/6$ by using picture?

Published on 17 Apr 2026 - 7:04

118

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Prove that $A$ is open when $A \cap bd(A) = \emptyset$

Published on 12 Apr 2026 - 15:59

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What are we doing when we are proofing a theorem "if A, then B"?

Published on 15 Apr 2026 - 1:59

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Proof Verification: Chapter 1 Exercise 6(a) of Baby Rudin

Published on 12 Apr 2026 - 5:21

320

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Common roots of recursive defined polynomial

Published on 09 Apr 2026 - 14:45

206

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Prove that $E^{\circ}$ is always open

Published on 13 Apr 2026 - 21:32

List Question

Find inverse of $a \mod p$

Prove that x ~ y if |x-y| $\leq$ 3 is an equivalence relation for x,y elements of the natural numbers

Prove that a sequence converges

Decomposition of vector field into solenoidal and irrotational parts.

Inductive Proof for Divisibilty of Elements of a Set

How to prove that if $(x \in Y) \implies (X \subset Y)$ and $(x \in Y) \lor (Y \subset X)$ , then $(X\subset Y) \lor (Y \subset X)$

Why is my textbook using a rather long proof involving sequences?

Proving a conditional statement by induction

Non-surjectivity of a function

Another way proof $1/2-1/3=1/6$ by using picture?

Prove that $A$ is open when $A \cap bd(A) = \emptyset$

What are we doing when we are proofing a theorem "if A, then B"?

Proof Verification: Chapter 1 Exercise 6(a) of Baby Rudin

Common roots of recursive defined polynomial

Prove that $E^{\circ}$ is always open

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