Mathlib Map

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 F

Natural 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
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

VectorBundleCore.Fiber · cited by 22VectorBundleCore.FiberVectorBundleCore.localTriv · cited by 11VectorBundleCore.localTrivtangentBundle_model_space_chartAt · cited by 4tangentBundle_model_space…VectorBundleCore.localTrivAt_apply · cited by 1VectorBundleCore.localTri…VectorBundleCore.toFiberBundleCore_baseSet · cited by 1VectorBundleCore.toFiberB…VectorBundleCore.toFiberBundleCore_indexAt · cited by 1VectorBundleCore.toFiberB…VectorBundleCore.trivChange · cited by 1VectorBundleCore.trivChan…VectorBundleCore.isOpenMap_proj · cited by 0VectorBundleCore.isOpenMa…VectorBundleCore.mem_localTrivAt_baseSet · cited by 0VectorBundleCore.mem_loca…VectorBundleCore.mem_localTriv_target · cited by 0VectorBundleCore.mem_loca…VectorBundleCore.mem_trivChange_source · cited by 0VectorBundleCore.mem_triv…tangentMap_chart_symm · cited by 0tangentMap_chart_symmVectorBundleCore.toFiberBundleCore_coordChange · cited by 0VectorBundleCore.toFiberB…TangentBundle.chartAt · cited by 0TangentBundle.chartAtTangentBundle.chartAt_toPartialEquiv · cited by 0TangentBundle.chartAt_toP…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldVectorBundleCore · cited by 38VectorBundleCoreFiberBundleCore · cited by 35FiberBundleCoreVectorBundleCore.coordChange · cited by 31VectorBundleCore.coordCha…VectorBundleCore.indexAt · cited by 17VectorBundleCore.indexAtVectorBundleCore.baseSet · cited by 16VectorBundleCore.baseSetVectorBundleCore.coordChange_self · cited by 4VectorBundleCore.coordCha…VectorBundleCore.coordChange_comp · cited by 3VectorBundleCore.coordCha…VectorBundleCore.mem_baseSet_at · cited by 2VectorBundleCore.mem_base…VectorBundleCore.isOpen_baseSet · cited by 0VectorBundleCore.isOpen_b…VectorBundleCore.toFiberBundl…CITED BYCITES

Cites14

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

Cited by19

Results whose statement or proof uses this declaration.