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Theorems · Theorem · order theory

Order.IsPredPrelimit.withBotCoe

∀ {α : Type u_1} [inst : Preorder α] {x : α}, Order.IsPredPrelimit x → Order.IsPredPrelimit ↑x
Defined in
Mathlib.Order.SuccPred.Limit
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Preorder
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Around this declaration

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

Order.IsPredLimit.withBotCoe · cited by 0IsPredLimit.withBotCoePreorder · cited by 7952PreorderWithBot · cited by 1498WithBotWithBot.some · cited by 541WithBot.someCovBy · cited by 290CovByOrder.IsPredPrelimit · cited by 93Order.IsPredPrelimitWithBot.forall · cited by 6WithBot.forallWithBot.coe_covBy_coe · cited by 3WithBot.coe_covBy_coenot_covBy_bot · cited by 2not_covBy_botIsPredPrelimit.withBotCoeCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.