Theorems · Theorem · logic and foundations

Directed.sequence_mono_nat

∀ {α : Type u_1} {β : Type u_2} [inst : Encodable α] [inst_1 : Inhabited α] {r : β → β → Prop} {f : α → β}
  (hf : Directed r f) (n : ℕ), r (f (Directed.sequence f hf n)) (f (Directed.sequence f hf (n + 1)))

Defined in

Mathlib.Logic.Encodable.Basic

Cited by

2 results in Mathlib

Foundations

Depth 10 from the axioms · uses Classical.choice

Assumes

EncodableInhabited