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Theorems · Theorem · functional analysis

LineDerivSMul.lineDerivOp_smul

∀ {R : Type u_11} {V : Type u} {E : Type v} {F : outParam (Type w)} {inst : SMul R E} {inst_1 : SMul R F}
  {inst_2 : LineDeriv V E F} [self : LineDerivSMul R V E F] (v : V) (r : R) (x : E),
  LineDeriv.lineDerivOp v (r • x) = r • LineDeriv.lineDerivOp v x
Defined in
Mathlib.Analysis.Distribution.DerivNotation
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
LineDerivSMul
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LineDeriv.iteratedLineDerivOp_smul · cited by 0LineDeriv.iteratedLineDer…LineDeriv.lineDerivOp · cited by 60LineDeriv.lineDerivOpLineDeriv · cited by 29LineDerivLineDerivSMul · cited by 9LineDerivSMulLineDerivSMul.lineDerivOp_smulCITED BYCITES

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Cited by1

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