Theorems · Definition · number theory
MulChar.inv
{R : Type u_1} →
[inst : CommMonoid R] → {R' : Type u_2} → [inst_1 : CommMonoidWithZero R'] → MulChar R R' → MulChar R R'The inverse of a multiplicative character. We define it as inverse ∘ χ.
- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidCommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomproof · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- IsUnitproof · cited by 1,602
- CommMonoidWithZerostatement and proof · cited by 913
- MonoidHom.compproof · cited by 469
- MulCharstatement and proof · cited by 186
- MonoidWithZeroHom.toMonoidHomproof · cited by 39
- MulChar.toMonoidHomproof · cited by 7
- MonoidWithZero.inverseproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MulChar.inv_apply_eq_invproof · cited by 5