Theorems · Definition · algebraic topology
VectorBundleCore.toFiberBundleCore
{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 → FiberBundleCore ι B FNatural identification to a FiberBundleCore.
- Defined in
- Mathlib.Topology.VectorBundle.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- VectorBundleCorestatement and proof · cited by 38
- FiberBundleCorestatement · cited by 35
- VectorBundleCore.coordChangeproof · cited by 31
- VectorBundleCore.indexAtproof · cited by 17
- VectorBundleCore.baseSetproof · cited by 16
- VectorBundleCore.coordChange_selfproof · cited by 4
- VectorBundleCore.coordChange_compproof · cited by 3
Cited by19
Results whose statement or proof uses this declaration.
- VectorBundleCore.Fiberproof · cited by 22
- VectorBundleCore.localTrivproof · cited by 11
- tangentBundle_model_space_chartAtproof · cited by 4
- VectorBundleCore.localTrivAt_applyproof · cited by 1
- VectorBundleCore.toFiberBundleCore_baseSetstatement and proof · cited by 1
- VectorBundleCore.toFiberBundleCore_indexAtstatement and proof · cited by 1
- VectorBundleCore.trivChangeproof · cited by 1
- VectorBundleCore.isOpenMap_projproof · cited by 0
- VectorBundleCore.mem_localTrivAt_baseSetproof · cited by 0
- VectorBundleCore.mem_localTriv_targetproof · cited by 0
- VectorBundleCore.mem_trivChange_sourceproof · cited by 0
- tangentMap_chart_symmproof · cited by 0