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Theorems · Theorem · general topology

Equiv.toHomeomorphOfDiscrete.congr_simp

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [inst_2 : DiscreteTopology X]
  [inst_3 : DiscreteTopology Y] (e e_1 : X ≃ Y), e = e_1 → e.toHomeomorphOfDiscrete = e_1.toHomeomorphOfDiscrete
Defined in
Mathlib.Topology.MetricSpace.HausdorffAlexandroff
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Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceDiscreteTopologyDiscreteTopology
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TopologicalSpace · cited by 24529TopologicalSpaceEquiv · cited by 8337EquivHomeomorph · cited by 725HomeomorphDiscreteTopology · cited by 373DiscreteTopologyEquiv.toHomeomorphOfDiscrete · cited by 3Equiv.toHomeomorphOfDiscr…toHomeomorphOfDiscrete.congr_…CITED BYCITES

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