Theorems · Theorem · global analysis
trivializationAt_model_space_apply
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {H : Type u_4} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H}
(p : TangentBundle I H) (x : H), ↑(trivializationAt E (TangentSpace I) x) p = (p.proj, p.snd)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Top.topstatement · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement · cited by 4,985
- Set.rangeproof · cited by 4,705
- WithTopstatement · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- PartialEquiv.toFunproof · cited by 821
- Bundle.TotalSpacestatement · cited by 766
Cited by1
Results whose statement or proof uses this declaration.
- contMDiffWithinAt_vectorSpace_iff_contDiffWithinAtproof · cited by 2