Theorems · Theorem · general topology
UniformEquiv.piCongrLeft_symm_apply
∀ {ι : Type u_4} {ι' : Type u_5} {X : ι' → Type u_6} [inst : (j : ι') → UniformSpace (X j)] (e : ι ≃ ι'),
⇑(UniformEquiv.piCongrLeft e).symm = fun x1 x2 => x1 (e x2)- Defined in
- Mathlib.Topology.UniformSpace.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement and proof · cited by 8,337
- UniformSpacestatement and proof · cited by 2,040
- UniformEquivstatement · cited by 80
- UniformEquiv.symmstatement · cited by 28
- UniformEquiv.piCongrLeftstatement · cited by 6
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