Theorems · Theorem · order theory

OrderIso.isAtom_iff

∀ {α : Type u_2} {β : Type u_3} [inst : PartialOrder α] [inst_1 : PartialOrder β] [inst_2 : OrderBot α]
  [inst_3 : OrderBot β] (f : α ≃o β) (a : α), IsAtom (f a) ↔ IsAtom a

Defined in

Mathlib.Order.Atoms

Cited by

5 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderPartialOrderOrderBotOrderBot