Theorems · Theorem · number theory
MulChar.ext_iff
∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] {χ χ' : MulChar R R'},
χ = χ' ↔ ∀ (a : Rˣ), χ ↑a = χ' ↑a- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 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.
Cites7
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
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement and proof · cited by 1,966
- CommMonoidWithZerostatement and proof · cited by 913
- MulCharstatement and proof · cited by 186
- MulChar.extproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.changeLevel_injectiveproof · cited by 5