Theorems · Definition · order theory
Sublocale.restrict
{X : Type u_1} → [inst : Order.Frame X] → (S : Sublocale X) → FrameHom X ↥SThe restriction from a locale X into the sublocale S.
- Defined in
- Mathlib.Order.Sublocale
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Order.Frame
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.ofPredproof · cited by 6,101
- InfSet.sInfproof · cited by 935
- Order.Framestatement and proof · cited by 88
- FrameHomstatement · cited by 70
- Sublocalestatement and proof · cited by 30
Cited by6
Results whose statement or proof uses this declaration.
- Sublocale.toNucleusproof · cited by 4
- Sublocale.giRestrictstatement · cited by 1
- Sublocale.range_toNucleusproof · cited by 1
- Sublocale.restrict_of_memstatement · cited by 1
- Sublocale.toNucleus_applystatement · cited by 1
- Nucleus.restrict_toSublocalestatement · cited by 0