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Theorems Β· Theorem Β· real analysis

ContDiff.restrict_scalars

βˆ€ (π•œ : Type u_1) [inst : NontriviallyNormedField π•œ] {E : Type uE} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace π•œ E] {F : Type uF} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace π•œ F] {f : E β†’ F}
  {n : WithTop β„•βˆž} {π•œ' : Type u_3} [inst_5 : NontriviallyNormedField π•œ'] [inst_6 : NormedAlgebra π•œ π•œ']
  [inst_7 : NormedSpace π•œ' E] [IsScalarTower π•œ π•œ' E] [inst_9 : NormedSpace π•œ' F] [IsScalarTower π•œ π•œ' F],
  ContDiff π•œ' n f β†’ ContDiff π•œ n f
Defined in
Mathlib.Analysis.Calculus.ContDiff.Operations
Cited by
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Foundations
Depth 197 from the axioms Β· uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceNontriviallyNormedFieldNormedAlgebraNormedSpaceIsScalarTowerNormedSpaceIsScalarTower
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Around this declaration

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NormedAddCommGroup Β· cited by 15752NormedAddCommGroupNormedSpace Β· cited by 12499NormedSpaceNontriviallyNormedField Β· cited by 8742NontriviallyNormedFieldENat Β· cited by 4985ENatIsScalarTower Β· cited by 3896IsScalarTowerWithTop Β· cited by 3754WithTopNormedAlgebra Β· cited by 1165NormedAlgebraContDiff Β· cited by 352ContDiffContDiff.contDiffAt Β· cited by 106ContDiff.contDiffAtcontDiff_iff_contDiffAt Β· cited by 28contDiff_iff_contDiffAtContDiffAt.restrict_scalars Β· cited by 3ContDiffAt.restrict_scala…ContDiff.restrict_scalarsCITED BYCITES

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