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Theorems · Theorem · difference equations

fwdDiff_const_smul

∀ {M : Type u_1} {G : Type u_2} [inst : AddCommMonoid M] [inst_1 : AddCommGroup G] (h : M) {R : Type u_3}
  [inst_2 : Monoid R] [inst_3 : DistribMulAction R G] (r : R) (f : M → G), fwdDiff h (r • f) = r • fwdDiff h f
Defined in
Mathlib.Algebra.Group.ForwardDiff
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoidAddCommGroupMonoidDistribMulAction
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Around this declaration

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

fwdDiff_iter_const_smul · cited by 4fwdDiff_iter_const_smulAddCommGroup · cited by 12871AddCommGroupAddCommMonoid · cited by 12281AddCommMonoidMonoid · cited by 3887MonoidDistribMulAction · cited by 584DistribMulActionsmul_sub · cited by 142smul_subfwdDiff · cited by 35fwdDifffwdDiff_const_smulCITED BYCITES

Cites6

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Cited by1

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