Theorems · Theorem · order theory
DirectedOn.proj
∀ {ι : Type u_5} {α : ι → Type u_6} {r : (i : ι) → α i → α i → Prop} {d : Set ((i : ι) → α i)},
DirectedOn (fun x y => ∀ (i : ι), r i (x i) (y i)) d → ∀ (i : ι), DirectedOn (r i) ((fun a => a i) '' d)- Defined in
- Mathlib.Order.Directed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- DirectedOnstatement and proof · cited by 271
- DirectedOn.mono_compproof · cited by 10
- DirectedOn.monoproof · cited by 8
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