Theorems · Definition · order theory
Nucleus.toSublocale
{X : Type u_1} → [inst : Order.Frame X] → Nucleus X → Sublocale XThe range of a nucleus is a sublocale.
- Defined in
- Mathlib.Order.Sublocale
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 25 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.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Set.rangeproof · cited by 4,705
- Order.Framestatement and proof · cited by 88
- Nucleusstatement and proof · cited by 41
- Sublocalestatement · cited by 30
Cited by6
Results whose statement or proof uses this declaration.
- nucleusIsoSublocaleproof · cited by 2
- Nucleus.coe_toSublocalestatement and proof · cited by 1
- Nucleus.restrict_toSublocalestatement and proof · cited by 0
- Nucleus.mem_toSublocalestatement · cited by 0
- Nucleus.toSublocale_le_toSublocalestatement · cited by 0
- nucleusIsoSublocale.eq_toSublocalestatement · cited by 0