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Theorems · Definition · order theory

Order.PFilter.dual

{P : Type u_1} → [inst : Preorder P] → Order.PFilter P → Order.Ideal Pᵒᵈ
Defined in
Mathlib.Order.PFilter
Cited by
5 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Order.PFilter.nonempty · cited by 4PFilter.nonemptyOrder.PFilter.mem_of_le · cited by 3PFilter.mem_of_leOrder.PFilter.isPFilter · cited by 1PFilter.isPFilterOrder.PFilter.directed · cited by 0PFilter.directedOrder.PFilter.top_mem · cited by 0PFilter.top_memPreorder · cited by 7952PreorderOrderDual · cited by 927OrderDualOrder.Ideal · cited by 102Order.IdealOrder.PFilter · cited by 32Order.PFilterPFilter.dualCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.