Theorems · Theorem · number theory
MulChar.restrict_ofUnitHom
Deprecated since 2026-07-19Use MulChar.domRestrict_ofUnitHom instead.
∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_3} [inst_1 : CommMonoidWithZero R'] (f : Rˣ →* R'ˣ)
(S : Submonoid R),
MulChar.domRestrict S (MulChar.ofUnitHom f) =
MulChar.ofUnitHom ((f.domRestrict S.units).comp ↑S.unitsEquivUnitsType.symm)Alias of MulChar.domRestrict_ofUnitHom.
- Defined in
- Mathlib.NumberTheory.MulChar.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Submonoidstatement · cited by 3,086
- Unitsstatement · cited by 2,804
- CommMonoidstatement · cited by 2,264
- MulEquivstatement · cited by 1,142
- CommMonoidWithZerostatement · cited by 913
- MulEquiv.symmstatement · cited by 482
- MonoidHom.compstatement · cited by 469
- MonoidHomClass.toMonoidHomstatement · cited by 294
- MulCharstatement · cited by 186
- MonoidHom.domRestrictstatement · cited by 59
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