Theorems · Theorem · number theory

MulChar.domRestrict_apply

∀ {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') (x : ↥T),
  (MulChar.domRestrict T χ) x = if IsUnit x then χ ↑x else 0

Defined in

Mathlib.NumberTheory.MulChar.Basic

Cited by

3 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidCommMonoidWithZeroSetLikeSubmonoidClass