Theorems · Theorem · ring theory

Graded.map_mem

∀ {F : Type u_1} {A : Type u_2} {B : Type u_3} {σ : Type u_4} {τ : Type u_5} {ι : Type u_6} [inst : SetLike σ A]
  [inst_1 : SetLike τ B] {𝒜 : ι → σ} {ℬ : ι → τ} [inst_2 : FunLike F A B] [GradedFunLike F 𝒜 ℬ] (f : F) {i : ι} {x : A},
  x ∈ 𝒜 i → f x ∈ ℬ i

Defined in

Mathlib.Data.FunLike.Graded

Cited by

10 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

SetLikeSetLikeFunLikeGradedFunLike