Theorems · Theorem · general topology
DiscreteQuotient.ofLE.congr_simp
∀ {X : Type u_2} [inst : TopologicalSpace X] {A B : DiscreteQuotient X} (h : A ≤ B) (a a_1 : Quotient A.toSetoid),
a = a_1 → DiscreteQuotient.ofLE h a = DiscreteQuotient.ofLE h a_1- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
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Cites4
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
- DiscreteQuotientstatement and proof · cited by 65
- DiscreteQuotient.toSetoidstatement and proof · cited by 45
- DiscreteQuotient.ofLEstatement and proof · cited by 14
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