Question

Suppose A $\subseteq$ B. Prove that for every set C, C $\setminus$ B $\subseteq$ C $\setminus$ A.

score 41 · Answer 1 · 2026-04-23 10:35:41

41

Views

Suppose A $\subseteq$ B. Prove that for every set C, C $\setminus$ B $\subseteq$ C $\setminus$ A.

Published on 23 Apr 2026 - 10:35

score 183 · Answer 2 · 2026-04-13 16:46:46

183

Views

An alternate motivation 1988 IMO question #6 (the infamous one)

Published on 13 Apr 2026 - 16:46

score 41 · Answer 3 · 2026-04-12 11:37:44

41

Views

How Was Uniform Boundedness Used?

Published on 12 Apr 2026 - 11:37

score 89 · Answer 4 · 2026-04-15 13:27:52

89

Views

Sigma Algebra property

Published on 15 Apr 2026 - 13:27

score 66 · Answer 5 · 2026-04-14 20:32:32

66

Views

Proving exponent properties in a group

Published on 14 Apr 2026 - 20:32

score 115 · Answer 6 · 2026-04-13 21:16:13

115

Views

epsilon-delta proofs: can delta be defined in terms of both epsilon and x?

Published on 13 Apr 2026 - 21:16

score 67 · Answer 7 · 2026-04-20 08:32:13

67

Views

Why $\lim\limits_{n\to\infty}\Big\{\frac{|X_n-a|}{1+|X_n-a|}\Big\}=0$?

Published on 20 Apr 2026 - 8:32

score 56 · Answer 8 · 2026-04-12 23:35:09

56

Views

Understanding the isomorphisms and direct sums in Structure Theorem proof

Published on 12 Apr 2026 - 23:35

score 55 · Answer 9 · 2026-04-13 19:59:35

55

Views

Probability chain rule given some event.

Published on 13 Apr 2026 - 19:59

score 302 · Answer 10 · 2026-04-29 17:20:04

302

Views

prove that the reduced join of 2 spaces is homeomorphic to the reduced suspension of the smash of them.

Published on 29 Apr 2026 - 17:20

score 968 · Answer 11 · 2026-04-14 09:21:51

968

Views

Explanation on the limitation of the proof of the Law of Cosines

Published on 14 Apr 2026 - 9:21

score 241 · Answer 12 · 2026-04-17 14:49:39

241

Views

For ordinals $\delta$ and $\beta$, if $\delta\in$ or $=\beta$, then there exists $\gamma\in$ or $=\beta$ such that $\beta=\delta+\gamma$

Published on 17 Apr 2026 - 14:49

score 2.1k · Answer 13 · 2026-04-15 13:08:01

2.1k

Views

Dot product of two vectors squared identity

Published on 15 Apr 2026 - 13:08

score 400 · Answer 14 · 2026-04-14 05:32:56

400

Views

Proving, with Dedekind cuts, that $\mathbb{R}$ has the lub property

Published on 14 Apr 2026 - 5:32

score 71 · Answer 15 · 2026-04-24 00:49:26

71

Views

Diagram shows quadrilateral ABCD, with OA = (-6,3) , OB = (5,5), OC = (7,-2) , OD = (-4,-6). Show that midpoints P, Q, R & S form a parallelogram.

Published on 24 Apr 2026 - 0:49

List Question

Suppose A $\subseteq$ B. Prove that for every set C, C $\setminus$ B $\subseteq$ C $\setminus$ A.

An alternate motivation 1988 IMO question #6 (the infamous one)

How Was Uniform Boundedness Used?

Sigma Algebra property

Proving exponent properties in a group

epsilon-delta proofs: can delta be defined in terms of both epsilon and x?

Why $\lim\limits_{n\to\infty}\Big\{\frac{|X_n-a|}{1+|X_n-a|}\Big\}=0$?

Understanding the isomorphisms and direct sums in Structure Theorem proof

Probability chain rule given some event.

prove that the reduced join of 2 spaces is homeomorphic to the reduced suspension of the smash of them.

Explanation on the limitation of the proof of the Law of Cosines

For ordinals $\delta$ and $\beta$, if $\delta\in$ or $=\beta$, then there exists $\gamma\in$ or $=\beta$ such that $\beta=\delta+\gamma$

Dot product of two vectors squared identity

Proving, with Dedekind cuts, that $\mathbb{R}$ has the lub property

Diagram shows quadrilateral ABCD, with OA = (-6,3) , OB = (5,5), OC = (7,-2) , OD = (-4,-6). Show that midpoints P, Q, R & S form a parallelogram.

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