Theorems · Theorem · global analysis

TangentBundle.symmL_model_space

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_8} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] (b b' : F),
  Bundle.Trivialization.symmL 𝕜 (trivializationAt F (TangentSpace (modelWithCornersSelf 𝕜 F)) b) b' = 1

Defined in: Mathlib.Geometry.Manifold.VectorBundle.Tangent
Cited by: 0 results in Mathlib
Foundations: Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NontriviallyNormedField NormedAddCommGroup NormedSpace

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

RingHom.idstatement and proof · cited by 18,349
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
ContinuousLinearMapstatement and proof · cited by 5,352
ENatstatement · cited by 4,985
WithTopstatement · cited by 3,754
modelWithCornersSelfstatement and proof · cited by 920
TangentSpacestatement and proof · cited by 555
Set.mem_univproof · cited by 416
FiberBundle.trivializationAtstatement · cited by 95

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