Theorems · Theorem · logic and foundations

Pairwise.disjoint_extend_bot

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : PartialOrder γ] [inst_1 : OrderBot γ] {e : α → β} {f : α → γ},
  Pairwise (Function.onFun Disjoint f) →
    Function.FactorsThrough f e → Pairwise (Function.onFun Disjoint (Function.extend e f ⊥))

Defined in

Mathlib.Data.Set.Pairwise.Basic

Cited by

1 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderOrderBot