Theorems · Theorem · general topology
UniformEquiv.toEquiv_injective
∀ {α : Type u} {β : Type u_1} [inst : UniformSpace α] [inst_1 : UniformSpace β], Function.Injective UniformEquiv.toEquiv- Defined in
- Mathlib.Topology.UniformSpace.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- UniformSpacestatement and proof · cited by 2,040
- UniformContinuousproof · cited by 410
- Equiv.toFunproof · cited by 279
- Equiv.invFunproof · cited by 163
- UniformEquivstatement and proof · cited by 80
- UniformEquiv.toEquivstatement and proof · cited by 21
- UniformEquiv.mk.injEqproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- UniformEquiv.extproof · cited by 1