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Theorems · Theorem · order theory

Order.not_isSuccLimit_of_isSuccArchimedean

∀ {α : Type u_1} {a : α} [inst : PartialOrder α] [inst_1 : SuccOrder α] [IsSuccArchimedean α], ¬Order.IsSuccLimit a
Defined in
Mathlib.Order.SuccPred.Limit
Cited by
1 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderSuccOrderIsSuccArchimedean
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Order.not_isSuccLimit · cited by 0Order.not_isSuccLimitPartialOrder · cited by 6410PartialOrderSuccOrder · cited by 574SuccOrderOrder.IsSuccLimit · cited by 255Order.IsSuccLimitIsSuccArchimedean · cited by 88IsSuccArchimedeanOrder.IsSuccLimit.isSuccPrelimit · cited by 37IsSuccLimit.isSuccPrelimitOrder.IsSuccLimit.not_isMin · cited by 15IsSuccLimit.not_isMinOrder.IsSuccPrelimit.isMin · cited by 2IsSuccPrelimit.isMinOrder.not_isSuccLimit_of_isSu…CITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.