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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
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpace

Around this declaration

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

VectorBundleCore.toFiberBundleCore · cited by 16VectorBundleCore.toFiberB…tangentCoordChange · cited by 11tangentCoordChangetangentBundleCore_coordChange · cited by 9tangentBundleCore_coordCh…VectorBundleCore.coordChange_self · cited by 4VectorBundleCore.coordCha…tangentBundle_model_space_chartAt · cited by 4tangentBundle_model_space…VectorBundleCore.coordChange_comp · cited by 3VectorBundleCore.coordCha…VectorBundleCore.trivializationAt_continuousLinearMapAt · cited by 3VectorBundleCore.triviali…VectorBundleCore.trivializationAt_symmL · cited by 3VectorBundleCore.triviali…VectorBundleCore.inCoordinates_eq · cited by 2VectorBundleCore.inCoordi…TangentBundle.continuousLinearMapAt_trivializationAt_eq_core · cited by 2TangentBundle.continuousL…TangentBundle.coordChange_model_space · cited by 2TangentBundle.coordChange…TangentBundle.continuousLinearMapAt_trivializationAt · cited by 2TangentBundle.continuousL…VectorBundleCore.localTriv_apply · cited by 1VectorBundleCore.localTri…VectorBundleCore.localTriv_continuousLinearMapAt · cited by 1VectorBundleCore.localTri…VectorBundleCore.localTriv_coordChange_eq · cited by 1VectorBundleCore.localTri…TopologicalSpace · cited by 24529TopologicalSpaceRingHom.id · cited by 18349RingHom.idNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousLinearMap · cited by 5352ContinuousLinearMapVectorBundleCore · cited by 38VectorBundleCoreVectorBundleCore.coordChangeCITED BYCITES

Cites7

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

Cited by35

Results whose statement or proof uses this declaration.