Theorems · Theorem · number theory
MulChar.map_one
∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] (χ : MulChar R R'), χ 1 = 1- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
- Assumes
- CommMonoidCommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommMonoidstatement and proof · cited by 2,264
- CommMonoidWithZerostatement and proof · cited by 913
- MulCharstatement and proof · cited by 186
- MonoidHom.toOneHomproof · cited by 132
- MulChar.toMonoidHomproof · cited by 7
- OneHom.map_one'proof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- legendreSym.at_oneproof · cited by 2
- DirichletCharacter.not_LSeriesSummable_at_oneproof · cited by 1
- MulChar.IsQuadratic.gaussSum_frob_iterproof · cited by 1