Mathlib Map

Theorems · Theorem · global analysis

ModelWithCorners.injective

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] (I : ModelWithCorners 𝕜 E H),
  Function.Injective ↑I
Defined in
Mathlib.Geometry.Manifold.IsManifold.Basic
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

mdifferentiable_of_subsingleton · cited by 1mdifferentiable_of_subsin…ModelWithCorners.preimage_image · cited by 1ModelWithCorners.preimage…TopologicalSpace · cited by 24529TopologicalSpaceNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldModelWithCorners · cited by 2462ModelWithCornersModelWithCorners.toFun' · cited by 373ModelWithCorners.toFun'ModelWithCorners.leftInverse · cited by 4ModelWithCorners.leftInve…ModelWithCorners.injectiveCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.