Theorems · Theorem · general topology

IsometryEquiv.preimage_symm

∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] (h : α ≃ᵢ β),
  Set.preimage ⇑h.symm = Set.image ⇑h

Defined in

Mathlib.Topology.MetricSpace.Isometry

Cited by

7 results in Mathlib

Foundations

Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace