Theorems · Theorem · general topology
DiscreteQuotient.finsetClopens.congr_simp
∀ (X : Type u_2) [inst : TopologicalSpace X] [inst_1 : CompactSpace X] (d d_1 : DiscreteQuotient X), d = d_1 → DiscreteQuotient.finsetClopens X d = DiscreteQuotient.finsetClopens X d_1
- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpaceCompactSpace
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Finsetstatement · cited by 13,712
- CompactSpacestatement and proof · cited by 593
- DiscreteQuotientstatement and proof · cited by 65
- TopologicalSpace.Clopensstatement · cited by 53
- DiscreteQuotient.finsetClopensstatement and proof · cited by 3
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