Theorems · Theorem · global analysis
ModelWithCorners.left_inv
∀ {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) (x : H),
↑I.symm (↑I x) = x- Cited by
- 56 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ModelWithCornersstatement and proof · cited by 2,462
- PartialEquiv.toFunstatement · cited by 821
- ModelWithCorners.toFun'statement · cited by 373
- ModelWithCorners.symmstatement · cited by 146
- ModelWithCorners.toPartialEquivproof · cited by 72
- ModelWithCorners.source_eqproof · cited by 34
- PartialEquiv.left_inv'proof · cited by 6
Cited by57
Results whose statement or proof uses this declaration.
- ContMDiffWithinAt.compproof · cited by 18
- differentiableWithinAt_localInvariantPropproof · cited by 13
- HasMFDerivWithinAt.compproof · cited by 7
- contDiffWithinAtProp_idproof · cited by 5
- Filter.EventuallyEq.mfderivWithin_eqproof · cited by 5
- ModelWithCorners.leftInverseproof · cited by 4
- HasMFDerivWithinAt.congr_of_eventuallyEqproof · cited by 4
- Filter.EventuallyEq.mlieBracketWithin_vectorField_eqproof · cited by 4
- ModelWithCorners.contMDiffproof · cited by 4
- VectorField.mlieBracketWithin_smul_rightproof · cited by 3
- ContMDiff.inlproof · cited by 3
- ContMDiff.inrproof · cited by 3