Theorems · Definition · order theory
Order.IsPFilter.toPFilter
{P : Type u_1} → [inst : Preorder P] → {F : Set P} → Order.IsPFilter F → Order.PFilter PCreate an element of type Order.PFilter from a set satisfying the predicate
Order.IsPFilter.
- Defined in
- Mathlib.Order.PFilter
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- Order.PFilterstatement · cited by 32
- Order.IsPFilterstatement and proof · cited by 6
- Order.IsIdeal.toIdealproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Order.Ideal.IsPrime.mem_or_memproof · cited by 2
- IdealFilter.gabrielCompositionproof · cited by 1
- Order.Ideal.IsPrime.toPrimePairproof · cited by 0