Theorems · Definition · number theory
MulChar.domRestrictHom
{R : Type u_1} →
[inst : CommMonoid R] →
{S : Type u_3} →
[inst_1 : SetLike S R] →
[inst_2 : SubmonoidClass S R] →
(T : S) → (R'' : Type u_4) → [inst_3 : CommMonoidWithZero R''] → MulChar R R'' →* MulChar (↥T) R''The restriction of a MulChar to a submonoid as an homomorphism.
- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- MonoidHomstatement · cited by 3,629
- CommMonoidstatement and proof · cited by 2,264
- SetLikestatement and proof · cited by 1,084
- CommMonoidWithZerostatement and proof · cited by 913
- MulCharstatement and proof · cited by 186
- SubmonoidClassstatement and proof · cited by 60
- MulChar.domRestrictproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- MulChar.domRestrictHom_applystatement and proof · cited by 3
- DirichletCharacter.annihilatorproof · cited by 2
- MulChar.domRestrictHom_surjectivestatement · cited by 1
- MulChar.restrictHom_applystatement · cited by 0
- MulChar.restrictHom_surjectivestatement · cited by 0
- MulChar.restrictHomproof · cited by 0