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Theorems · Theorem · number theory

MulChar.mul_apply

∀ {R : Type u_1} [inst : CommMonoid R] {R' : Type u_2} [inst_1 : CommMonoidWithZero R'] (χ χ' : MulChar R R') (a : R),
  (χ * χ') a = χ a * χ' a
Defined in
Mathlib.NumberTheory.MulChar.Basic
Cited by
3 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
CommMonoidCommMonoidWithZero
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MulChar.pow_apply_coe · cited by 5MulChar.pow_apply_coejacobiSum_mul_nontrivial · cited by 3jacobiSum_mul_nontrivialDirichletCharacter.IsPrimitive.completedLFunction_one_sub · cited by 0IsPrimitive.completedLFun…DFunLike.coe · cited by 62936DFunLike.coeCommMonoid · cited by 2264CommMonoidCommMonoidWithZero · cited by 913CommMonoidWithZeroMulChar · cited by 186MulCharMulChar.mul_applyCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.