Theorems · Theorem · number theory
MulChar.domRestrict_eq_one_iff
∀ {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} {χ : MulChar R R'},
MulChar.domRestrict T χ = 1 ↔ ∀ (x : (↥T)ˣ), χ ↑↑x = 1- Defined in
- Mathlib.NumberTheory.MulChar.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 31 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.
- DFunLike.coestatement and proof · cited by 62,936
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement and proof · cited by 1,966
- 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.domRestrictstatement · cited by 8
- MulChar.domRestrict_applyproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MulChar.restrict_eq_one_iffproof · cited by 0