Theorems · Definition · number theory
MulChar.domRestrict
{R : Type u_1} →
[inst : CommMonoid R] →
{R' : Type u_2} →
[inst_1 : CommMonoidWithZero R'] →
{S : Type u_3} →
[inst_2 : SetLike S R] → [inst_3 : SubmonoidClass S R] → (T : S) → MulChar R R' → MulChar (↥T) R'The restriction of a MulChar to a submonoid.
- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- SetLikestatement and proof · cited by 1,084
- CommMonoidWithZerostatement and proof · cited by 913
- MonoidHom.compproof · cited by 469
- MulCharstatement and proof · cited by 186
- Units.mapproof · cited by 95
- SubmonoidClassstatement and proof · cited by 60
- MulChar.toUnitHomproof · cited by 14
- SubmonoidClass.subtypeproof · cited by 11
- MulChar.ofUnitHomproof · cited by 10
Cited by10
Results whose statement or proof uses this declaration.
- MulChar.domRestrictHomproof · cited by 4
- MulChar.domRestrictHom_applystatement · cited by 3
- MulChar.domRestrict_applystatement · cited by 3
- MulChar.domRestrict_ofUnitHomstatement · cited by 2
- MulChar.domRestrict_eq_one_iffstatement · cited by 1
- MulChar.restrictproof · cited by 0
- MulChar.restrictHom_applystatement · cited by 0
- MulChar.restrict_applystatement · cited by 0
- MulChar.restrict_eq_one_iffstatement · cited by 0
- MulChar.restrict_ofUnitHomstatement · cited by 0