Theorems · Theorem · difference equations
fwdDiff_addChar_eq
∀ {M : Type u_3} {R : Type u_4} [inst : AddCommMonoid M] [inst_1 : Ring R] (φ : AddChar M R) (x h : M) (n : ℕ),
(fwdDiff h)^[n] (⇑φ) x = (φ h - 1) ^ n * φ x- Defined in
- Mathlib.Algebra.Group.ForwardDiff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Ringstatement and proof · cited by 7,463
- one_mulproof · cited by 2,841
- mul_assocproof · cited by 1,667
- add_commproof · cited by 1,535
- pow_zeroproof · cited by 1,094
- Nat.iteratestatement and proof · cited by 740
- pow_succproof · cited by 374
- AddCharstatement and proof · cited by 286
- sub_mulproof · cited by 170
- Function.iterate_succ_apply'proof · cited by 72
Cited by1
Results whose statement or proof uses this declaration.
- AddChar.tendsto_eval_one_sub_powproof · cited by 0