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Theorems · Theorem · global analysis

ModelWithCorners.leftInverse

∀ {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.LeftInverse ↑I.symm ↑I
Defined in
Mathlib.Geometry.Manifold.IsManifold.Basic
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace
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Around this declaration

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

ModelWithCorners.isClosedEmbedding · cited by 6ModelWithCorners.isClosed…ModelWithCorners.symm_comp_self · cited by 4ModelWithCorners.symm_com…ModelWithCorners.rightInvOn · cited by 3ModelWithCorners.rightInv…ModelWithCorners.injective · cited by 2ModelWithCorners.injectiveTopologicalSpace · cited by 24529TopologicalSpaceNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldModelWithCorners · cited by 2462ModelWithCornersPartialEquiv.toFun · cited by 821PartialEquiv.toFunModelWithCorners.toFun' · cited by 373ModelWithCorners.toFun'ModelWithCorners.symm · cited by 146ModelWithCorners.symmModelWithCorners.left_inv · cited by 56ModelWithCorners.left_invModelWithCorners.leftInverseCITED BYCITES

Cites9

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Cited by4

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