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|a + b| = |a| + |b| iff ab ≥ 0 (Proof) [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View | |
|a + b| ≤ |a| + |b| (Proof) [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View | |
||a| - |b|| ≤ |a - b| (Proof) [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View | |
Prove that A\(A\B) = A ∩ B [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View | |
If f : A → B and C ⊆ A, then f↾C : C → B (Proof) [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View | |
Prove if A ∩ C ⊆ B ∩ C and A ∪ C ⊆ B ∪ C, then A ⊆ B [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View | |
Prove if ab ﹥ 0, then a ﹥ 0 and b ﹥ 0, or a ﹤ 0 and b ﹤ 0 (ILIEKMATHPHYSICS) (ILIEKMATHPHYSICS) View | |
A x B = B x A if and only if either A = ∅, B = ∅, or A = B Proof [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View | |
Prove if a ≥ b and a ≤ b, then a = b (ILIEKMATHPHYSICS) (ILIEKMATHPHYSICS) View | |
If ab ﹤ 0, then either (1) a ﹥ 0 and b ﹤ 0, or (2) a ﹤ 0 and b ﹥ 0 (Proof) [ILIEKMATHPHYSICS] (ILIEKMATHPHYSICS) View |