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Theorems · Theorem · global analysis

ModelWithCorners.continuous_symm

∀ {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),
  Continuous ↑I.symm
Defined in
Mathlib.Geometry.Manifold.IsManifold.Basic
Cited by
14 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace

Around this declaration

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

differentiableWithinAt_localInvariantProp · cited by 13differentiableWithinAt_lo…ModelWithCorners.isClosedEmbedding · cited by 6ModelWithCorners.isClosed…ModelWithCorners.locallyCompactSpace · cited by 5ModelWithCorners.locallyC…OpenPartialHomeomorph.continuousAt_extend_symm' · cited by 3OpenPartialHomeomorph.con…ModelWithCorners.contMDiffOn_symm · cited by 3ModelWithCorners.contMDif…ModelWithCorners.continuousWithinAt_symm · cited by 3ModelWithCorners.continuo…OpenPartialHomeomorph.mem_interior_extend_target · cited by 2OpenPartialHomeomorph.mem…IsOpen.exists_contMDiff_support_eq_aux · cited by 1IsOpen.exists_contMDiff_s…isOpen_extChartAt_target · cited by 1isOpen_extChartAt_targetOpenPartialHomeomorph.interior_extend_target_subset_interior_range · cited by 1OpenPartialHomeomorph.int…ModelWithCorners.continuousAt_symm · cited by 1ModelWithCorners.continuo…ModelWithCorners.continuousOn_symm · cited by 1ModelWithCorners.continuo…contDiffWithinAt_localInvariantProp_of_le · cited by 1contDiffWithinAt_localInv…OpenPartialHomeomorph.isOpen_extend_target · cited by 0OpenPartialHomeomorph.isO…TopologicalSpace · cited by 24529TopologicalSpaceNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuous · cited by 2592ContinuousModelWithCorners · cited by 2462ModelWithCornersPartialEquiv.toFun · cited by 821PartialEquiv.toFunModelWithCorners.symm · cited by 146ModelWithCorners.symmModelWithCorners.continuous_invFun · cited by 3ModelWithCorners.continuo…ModelWithCorners.continuous_s…CITED BYCITES

Cites9

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Cited by14

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