Theorems · Theorem · order theory
Sublocale.range_toNucleus
∀ {X : Type u_1} [inst : Order.Frame X] {S : Sublocale X}, Set.range ⇑S.toNucleus = ↑S- Defined in
- Mathlib.Order.Sublocale
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 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.
Cites12
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
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Set.rangestatement · cited by 4,705
- Set.extproof · cited by 2,266
- Order.Framestatement and proof · cited by 88
- Nucleusstatement · cited by 41
- Sublocalestatement and proof · cited by 30
- Sublocale.restrictproof · cited by 4
- Sublocale.toNucleusstatement · cited by 4
- Sublocale.toNucleus_applyproof · cited by 1
- Sublocale.restrict_of_memproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Sublocale.toNucleus_le_toNucleusproof · cited by 0