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Theorems · Theorem · order theory

IsMin.isSuccPrelimit

∀ {α : Type u_1} {a : α} [inst : Preorder α], IsMin a → Order.IsSuccPrelimit a
Defined in
Mathlib.Order.SuccPred.Limit
Cited by
5 results in Mathlib
Foundations
Depth 8 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.isSuccPrelimit_bot · cited by 4Order.isSuccPrelimit_botSuccOrder.limitRecOn_isMin · cited by 2SuccOrder.limitRecOn_isMinOrder.isSuccPrelimit_iff_isMin · cited by 1Order.isSuccPrelimit_iff_…Order.isSuccLimitRecOn_of_isMin · cited by 0Order.isSuccLimitRecOn_of…Order.isSuccPrelimit_iff_of_noMax · cited by 0Order.isSuccPrelimit_iff_…Preorder · cited by 7952PreorderCovBy · cited by 290CovByIsMin · cited by 277IsMinOrder.IsSuccPrelimit · cited by 157Order.IsSuccPrelimitCovBy.lt · cited by 51CovBy.ltnot_isMin_of_lt · cited by 5not_isMin_of_ltIsMin.isSuccPrelimitCITED BYCITES

Cites6

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.