Theorems · Theorem · order theory

InfClosed.image

∀ {F : Type u_2} {α : Type u_3} {β : Type u_4} [inst : SemilatticeInf α] [inst_1 : SemilatticeInf β] {s : Set α}
  [inst_2 : FunLike F α β] [InfHomClass F α β], InfClosed s → ∀ (f : F), InfClosed (⇑f '' s)

Defined in

Mathlib.Order.SupClosed

Cited by

2 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

SemilatticeInfSemilatticeInfFunLikeInfHomClass