Theorems · Definition · algebraic topology
VectorBundleCore.coordChange
{R : Type u_1} →
{B : Type u_2} →
{F : Type u_3} →
[inst : NontriviallyNormedField R] →
[inst_1 : NormedAddCommGroup F] →
[inst_2 : NormedSpace R F] →
[inst_3 : TopologicalSpace B] → {ι : Type u_5} → VectorBundleCore R B F ι → ι → ι → B → F →L[R] F- Defined in
- Mathlib.Topology.VectorBundle.Basic
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- VectorBundleCorestatement and proof · cited by 38
Cited by35
Results whose statement or proof uses this declaration.
- VectorBundleCore.toFiberBundleCoreproof · cited by 16
- tangentCoordChangeproof · cited by 11
- tangentBundleCore_coordChangestatement and proof · cited by 9
- VectorBundleCore.coordChange_selfstatement · cited by 4
- tangentBundle_model_space_chartAtproof · cited by 4
- VectorBundleCore.coordChange_compstatement · cited by 3
- VectorBundleCore.trivializationAt_continuousLinearMapAtstatement · cited by 3
- VectorBundleCore.trivializationAt_symmLstatement · cited by 3
- VectorBundleCore.inCoordinates_eqstatement and proof · cited by 2
- TangentBundle.continuousLinearMapAt_trivializationAt_eq_corestatement and proof · cited by 2
- TangentBundle.coordChange_model_spacestatement · cited by 2
- TangentBundle.continuousLinearMapAt_trivializationAtproof · cited by 2