Mathlib Map

Theorems · Theorem · global analysis

ModelWithCorners.source_eq

∀ {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] (self : ModelWithCorners 𝕜 E H),
  self.source = Set.univ
Defined in
Mathlib.Geometry.Manifold.IsManifold.Basic
Cited by
34 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace

Around this declaration

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

ModelWithCorners.left_inv · cited by 56ModelWithCorners.left_invModelWithCorners.target_eq · cited by 42ModelWithCorners.target_eqOpenPartialHomeomorph.extend_source · cited by 17OpenPartialHomeomorph.ext…ContMDiffWithinAt.mdifferentiableWithinAt · cited by 11ContMDiffWithinAt.mdiffer…ModelWithCorners.image_eq · cited by 11ModelWithCorners.image_eqHasMFDerivWithinAt.comp · cited by 7HasMFDerivWithinAt.compcontMDiff_iff · cited by 4contMDiff_iffpreimage_extChartAt_eventuallyEq_compl_singleton · cited by 3preimage_extChartAt_event…ContMDiffWithinAt.mfderivWithin · cited by 3ContMDiffWithinAt.mfderiv…mfderivWithin_extChartAt_symm_comp_mfderiv_extChartAt' · cited by 3mfderivWithin_extChartAt_…VectorField.eventually_contMDiffWithinAt_mpullbackWithin_extChartAt_symm · cited by 2VectorField.eventually_co…contMDiff_equivTangentBundleProd_symm · cited by 2contMDiff_equivTangentBun…UniqueMDiffWithinAt.image_denseRange · cited by 2UniqueMDiffWithinAt.image…contMDiffOn_iff · cited by 2contMDiffOn_iffsetOfPred_riemannianEDist_lt_subset_nhds · cited by 2setOfPred_riemannianEDist…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldSet.univ · cited by 3945Set.univModelWithCorners · cited by 2462ModelWithCornersPartialEquiv.source · cited by 964PartialEquiv.sourceModelWithCorners.toPartialEquiv · cited by 72ModelWithCorners.toPartia…ModelWithCorners.source_eqCITED BYCITES

Cites9

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

Cited by34

Results whose statement or proof uses this declaration.