Theorems · Theorem · number theory
MulChar.domRestrict_ofUnitHom
∀ {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)- Defined in
- Mathlib.NumberTheory.MulChar.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 31 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.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equiv.symmproof · cited by 3,681
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- Submonoidstatement and proof · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valproof · cited by 1,966
- MulEquivstatement · cited by 1,142
- CommMonoidWithZerostatement and proof · cited by 913
- MulEquiv.symmstatement and proof · cited by 482
- MonoidHom.compstatement and proof · cited by 469
Cited by2
Results whose statement or proof uses this declaration.
- MulChar.domRestrictHom_surjectiveproof · cited by 1
- MulChar.restrict_ofUnitHomproof · cited by 0