Theorems · Theorem · general topology
UniformEquiv.apply_symm_apply
∀ {α : Type u} {β : Type u_1} [inst : UniformSpace α] [inst_1 : UniformSpace β] (h : α ≃ᵤ β) (x : β), h (h.symm x) = x- Defined in
- Mathlib.Topology.UniformSpace.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- UniformSpacestatement and proof · cited by 2,040
- Equiv.apply_symm_applyproof · cited by 346
- UniformEquivstatement and proof · cited by 80
- UniformEquiv.symmstatement · cited by 28
- UniformEquiv.toEquivproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- UniformEquiv.self_comp_symmproof · cited by 0