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Theorems · Theorem · group theory

AddChar.inv_mulShift

∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : CommMonoid M] (ψ : AddChar R M), ψ⁻¹ = ψ.mulShift (-1)

ψ⁻¹ = mulShift ψ (-1)).

Defined in
Mathlib.Algebra.Group.AddChar
Cited by
2 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
RingCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

mul_gaussSum_inv_eq_gaussSum · cited by 1mul_gaussSum_inv_eq_gauss…gaussSum_sq · cited by 1gaussSum_sqDFunLike.coe · cited by 62936DFunLike.coeRing · cited by 7463Ringone_mul · cited by 2841one_mulCommMonoid · cited by 2264CommMonoidneg_mul · cited by 654neg_mulAddChar · cited by 286AddCharAddChar.mulShift · cited by 26AddChar.mulShiftAddChar.ext · cited by 11AddChar.extAddChar.mulShift_apply · cited by 9AddChar.mulShift_applyAddChar.inv_apply · cited by 2AddChar.inv_applyAddChar.inv_mulShiftCITED BYCITES

Cites10

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Cited by2

Results whose statement or proof uses this declaration.