Mathlib Map

Theorems · Theorem · functional analysis

LineDerivAdd.lineDerivOp_add

∀ {V : Type u} {E : Type v} {F : outParam (Type w)} {inst : AddCommGroup V} {inst_1 : AddCommGroup E}
  {inst_2 : AddCommGroup F} {inst_3 : LineDeriv V E F} [self : LineDerivAdd V E F] (v : V) (x y : E),
  LineDeriv.lineDerivOp v (x + y) = LineDeriv.lineDerivOp v x + LineDeriv.lineDerivOp v y
Defined in
Mathlib.Analysis.Distribution.DerivNotation
Cited by
4 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
LineDerivAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LineDeriv.lineDerivOpCLM · cited by 9LineDeriv.lineDerivOpCLMLineDeriv.iteratedLineDerivOp_add · cited by 3LineDeriv.iteratedLineDer…LineDeriv.lineDerivOp_neg · cited by 0LineDeriv.lineDerivOp_negLineDeriv.lineDerivOp_sum · cited by 0LineDeriv.lineDerivOp_sumLineDeriv.lineDerivOp_zero · cited by 0LineDeriv.lineDerivOp_zeroAddCommGroup · cited by 12871AddCommGroupLineDeriv.lineDerivOp · cited by 60LineDeriv.lineDerivOpLineDeriv · cited by 29LineDerivLineDerivAdd · cited by 19LineDerivAddLineDerivAdd.lineDerivOp_addCITED BYCITES

Cites4

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Cited by5

Results whose statement or proof uses this declaration.