Theorems · Definition · order theory
Nucleus.restrict
{X : Type u_1} → [inst : Order.Frame X] → (n : Nucleus X) → FrameHom X ↑(Set.range ⇑n)Restrict a nucleus to its range.
- Defined in
- Mathlib.Order.Nucleus
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 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.
Cites8
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
- Setproof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Set.rangestatement · cited by 4,705
- Order.Framestatement and proof · cited by 88
- FrameHomstatement · cited by 70
- Set.rangeFactorizationproof · cited by 56
- Nucleusstatement and proof · cited by 41
Cited by2
Results whose statement or proof uses this declaration.
- Nucleus.restrict_toFunstatement and proof · cited by 0
- Nucleus.giRestrictstatement · cited by 0