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Theorems · Theorem · order theory

Order.not_isSuccLimit_bot

∀ {α : Type u_1} [inst : Preorder α] [inst_1 : OrderBot α], ¬Order.IsSuccLimit ⊥
Defined in
Mathlib.Order.SuccPred.Limit
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
PreorderOrderBot
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Cardinal.not_isSuccLimit_zero · cited by 0Cardinal.not_isSuccLimit_…Ordinal.not_isSuccLimit_zero · cited by 0Ordinal.not_isSuccLimit_z…Preorder · cited by 7952PreorderBot.bot · cited by 4720Bot.botOrderBot · cited by 1055OrderBotOrder.IsSuccLimit · cited by 255Order.IsSuccLimitisMin_bot · cited by 15isMin_botIsMin.not_isSuccLimit · cited by 1IsMin.not_isSuccLimitOrder.not_isSuccLimit_botCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.