Theorems · Theorem · general topology
UniformEquiv.piCongrLeft_refl
∀ {ι : Type u_4} {X : ι → Type u_5} [inst : (i : ι) → UniformSpace (X i)],
UniformEquiv.piCongrLeft (Equiv.refl ι) = UniformEquiv.refl ((i : ι) → X i)- 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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Cites7
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 · cited by 8,337
- UniformSpacestatement and proof · cited by 2,040
- Equiv.reflstatement · cited by 274
- UniformEquivstatement · cited by 80
- UniformEquiv.piCongrLeftstatement · cited by 6
- UniformEquiv.reflstatement · cited by 5
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