Theorems · Theorem · general topology
IsometryEquiv.symm_bijective
∀ {α : Type u} {β : Type v} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β],
Function.Bijective IsometryEquiv.symm- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Function.Bijectivestatement · cited by 863
- IsometryEquivstatement · cited by 177
- IsometryEquiv.symmstatement and proof · cited by 75
- Function.bijective_iff_has_inverseproof · cited by 50
- IsometryEquiv.symm_symmproof · cited by 6
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