Theorems · Theorem · order theory
Sublocale.toNucleus_apply
∀ {X : Type u_1} [inst : Order.Frame X] (S : Sublocale X) (x : X), S.toNucleus x = ↑(S.restrict x)- Defined in
- Mathlib.Order.Sublocale
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 37 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Order.Framestatement and proof · cited by 88
- FrameHomstatement · cited by 70
- Nucleusstatement · cited by 41
- Sublocalestatement and proof · cited by 30
- Sublocale.restrictstatement · cited by 4
- Sublocale.toNucleusstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Sublocale.range_toNucleusproof · cited by 1