Theorems · Theorem · order theory

disjointed_eq_self

∀ {α : Type u_1} {ι : Type u_2} [inst : GeneralizedBooleanAlgebra α] [inst_1 : Preorder ι]
  [inst_2 : LocallyFiniteOrderBot ι] {f : ι → α} {i : ι}, (∀ j < i, Disjoint (f j) (f i)) → disjointed f i = f i

Defined in

Mathlib.Order.Disjointed

Cited by

1 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GeneralizedBooleanAlgebraPreorderLocallyFiniteOrderBot