Theorems · Theorem · group theory
AddChar.zsmul_apply
∀ {A : Type u_1} {M : Type u_2} [inst : AddCommGroup A] [inst_1 : DivisionCommMonoid M] (n : ℤ) (ψ : AddChar A M)
(a : A), (n • ψ) a = ψ a ^ n- Defined in
- Mathlib.Algebra.Group.AddChar
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddCommGroupstatement and proof · cited by 12,871
- AddCharstatement and proof · cited by 286
- zpow_natCastproof · cited by 271
- natCast_zsmulproof · cited by 118
- zpow_negSuccproof · cited by 92
- DivisionCommMonoidstatement and proof · cited by 80
- negSucc_zsmulproof · cited by 45
- AddChar.neg_apply'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AddChar.zpow_applyproof · cited by 0