Theorems · Theorem · number theory
MulChar.equivToUnitHom_mul_apply
∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] (χ₁ χ₂ : MulChar R R') (a : Rˣ),
(MulChar.equivToUnitHom (χ₁ * χ₂)) a = (MulChar.equivToUnitHom χ₁) a * (MulChar.equivToUnitHom χ₂) a- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidCommMonoidWithZero
Around this declaration
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Cites11
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
- Equivstatement · cited by 8,337
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valproof · cited by 1,966
- CommMonoidWithZerostatement and proof · cited by 913
- MulCharstatement and proof · cited by 186
- MulChar.equivToUnitHomstatement and proof · cited by 20
- Units.val_injectiveproof · cited by 17
- MulChar.coe_equivToUnitHomproof · cited by 12
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