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Theorems · Theorem · order theory

Order.Cofinal.isCofinal

∀ {P : Type u_2} [inst : Preorder P] (self : Order.Cofinal P), IsCofinal self.carrier

The Cofinal contains arbitrarily large elements.

Defined in
Mathlib.Order.Ideal
Cited by
2 results in Mathlib
Foundations
Depth 5 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.Cofinal.above · cited by 3Cofinal.aboveOrder.Cofinal.above_mem · cited by 1Cofinal.above_memOrder.Cofinal.le_above · cited by 1Cofinal.le_abovePreorder · cited by 7952PreorderIsCofinal · cited by 84IsCofinalOrder.Cofinal · cited by 13Order.CofinalOrder.Cofinal.carrier · cited by 1Cofinal.carrierCofinal.isCofinalCITED BYCITES

Cites4

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Cited by3

Results whose statement or proof uses this declaration.