Theorems · Theorem · ring theory

GradedFunLike.map_mem

∀ {F : Type u_1} {A : outParam (Type u_2)} {B : outParam (Type u_3)} {σ : outParam (Type u_4)} {τ : outParam (Type u_5)}
  {ι : outParam (Type u_6)} {inst : SetLike σ A} {inst_1 : SetLike τ B} {𝒜 : outParam (ι → σ)} {ℬ : outParam (ι → τ)}
  {inst_2 : FunLike F A B} [self : 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

1 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

GradedFunLike