Theorems · Theorem · order theory
Sublocale.ext
∀ {X : Type u_1} [inst : Order.Frame X] {S T : Sublocale X}, (∀ (x : X), x ∈ S ↔ x ∈ T) → S = T- Defined in
- Mathlib.Order.Sublocale
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Frame
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.extproof · cited by 92
- Order.Framestatement and proof · cited by 88
- Sublocalestatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- Sublocale.ext_iffproof · cited by 0