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Theorems · Theorem · functional analysis

LineDeriv.lineDerivOp_neg

∀ {V : Type u_5} {E : Type u_6} {F : Type u_7} [inst : AddCommGroup V] [inst_1 : AddCommGroup E]
  [inst_2 : AddCommGroup F] [inst_3 : LineDeriv V E F] [LineDerivAdd V E F] (v : V) (x : E),
  LineDeriv.lineDerivOp v (-x) = -LineDeriv.lineDerivOp v x
Defined in
Mathlib.Analysis.Distribution.DerivNotation
Cited by
0 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext
Assumes
AddCommGroupAddCommGroupAddCommGroupLineDerivLineDerivAdd
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AddCommGroup · cited by 12871AddCommGroupmap_neg · cited by 378map_negLineDeriv.lineDerivOp · cited by 60LineDeriv.lineDerivOpLineDeriv · cited by 29LineDerivAddMonoidHom.mk' · cited by 25AddMonoidHom.mk'LineDerivAdd · cited by 19LineDerivAddLineDerivAdd.lineDerivOp_add · cited by 4LineDerivAdd.lineDerivOp_…LineDeriv.lineDerivOp_negCITED BYCITES

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