Theorems · Theorem · number theory

MulChar.restrict_apply

Deprecated since 2026-07-19Use MulChar.domRestrict_apply instead.

∀ {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

Alias of MulChar.domRestrict_apply.

Defined in

Mathlib.NumberTheory.MulChar.Basic

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidCommMonoidWithZeroSetLikeSubmonoidClass