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Theorems · Theorem · ring theory

SetLike.IsHomogeneousElem.mul

∀ {ι : Type u_1} {R : Type u_2} {S : Type u_3} [inst : SetLike S R] [inst_1 : Add ι] [inst_2 : Mul R] {A : ι → S}
  [SetLike.GradedMul A] {a b : R},
  SetLike.IsHomogeneousElem A a → SetLike.IsHomogeneousElem A b → SetLike.IsHomogeneousElem A (a * b)
Defined in
Mathlib.Algebra.GradedMonoid
Cited by
0 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
SetLikeAddMulSetLike.GradedMul
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SetLike · cited by 1084SetLikeSetLike.mul_mem_graded · cited by 22SetLike.mul_mem_gradedSetLike.IsHomogeneousElem · cited by 18SetLike.IsHomogeneousElemSetLike.GradedMul · cited by 4SetLike.GradedMulIsHomogeneousElem.mulCITED BYCITES

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