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Theorems · Theorem · general topology

IsLocalHomeomorph.localInverseAt.congr_simp

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f f_1 : X → Y}
  (e_f : f = f_1) (hf : IsLocalHomeomorph f) (x x_1 : X), x = x_1 → hf.localInverseAt x = ⋯.localInverseAt x_1
Defined in
Mathlib.Topology.IsLocalHomeomorph
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Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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TopologicalSpace · cited by 24529TopologicalSpaceOpenPartialHomeomorph · cited by 664OpenPartialHomeomorphIsLocalHomeomorph · cited by 35IsLocalHomeomorphIsLocalHomeomorph.localInverseAt · cited by 7IsLocalHomeomorph.localIn…localInverseAt.congr_simpCITED BYCITES

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