Theorems · Theorem · order theory

IsAntichain.preimage_embedding

∀ {α : Type u_1} {β : Type u_2} [inst : LE α] [inst_1 : LE β] {t : Set β},
  IsAntichain (fun x1 x2 => x1 ≤ x2) t → ∀ (φ : α ↪o β), IsAntichain (fun x1 x2 => x1 ≤ x2) (⇑φ ⁻¹' t)

Defined in

Mathlib.Order.Antichain

Cited by

0 results in Mathlib

Foundations

Depth 14 from the axioms · uses no axioms

Assumes

LELE