Theorems · Theorem · global analysis
ModelWithCorners.symm_comp_self
∀ {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),
↑I.symm ∘ ↑I = id- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Function.LeftInverse.comp_eq_idproof · cited by 13
- ModelWithCorners.leftInverseproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- IsOpen.exists_contMDiff_support_eq_auxproof · cited by 1
- ModelWithCorners.symm_continuousWithinAt_comp_right_iffproof · cited by 1
- ModelWithCorners.symm_map_nhdsWithin_imageproof · cited by 1
- ModelWithCorners.symm_map_nhdsWithin_rangeproof · cited by 1