Theorems · Theorem · general topology
HasSeparatingCover.mono
∀ {X : Type u_1} [inst : TopologicalSpace X] {s₁ s₂ t₁ t₂ : Set X},
HasSeparatingCover s₂ t₂ → s₁ ⊆ s₂ → t₁ ⊆ t₂ → HasSeparatingCover s₁ t₁- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- LE.le.transproof · cited by 3,151
- Set.iUnionproof · cited by 2,483
- IsOpenproof · cited by 2,400
- Disjointproof · cited by 2,201
- closureproof · cited by 1,254
- Set.disjoint_of_subsetproof · cited by 7
- HasSeparatingCoverstatement and proof · cited by 6
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