Theorems · Theorem · general topology
IsometryEquiv.trans_apply
∀ {α : Type u} {β : Type v} {γ : Type w} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
[inst_2 : PseudoEMetricSpace γ] (h₁ : α ≃ᵢ β) (h₂ : β ≃ᵢ γ) (x : α), (h₁.trans h₂) x = h₂ (h₁ x)- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coestatement · cited by 62,936
- PseudoEMetricSpacestatement and proof · cited by 1,536
- IsometryEquivstatement and proof · cited by 177
- IsometryEquiv.transstatement · cited by 8
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