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Theorems · Theorem · order theory

one_lt_of_gt

∀ {α : Type u_1} {a b : α} [inst : Preorder α] [inst_1 : One α] [IsBotOneClass α], a < b → 1 < b
Defined in
Mathlib.Algebra.Order.IsBotOne
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
PreorderOneIsBotOneClass
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Around this declaration

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

LT.lt.one_lt · cited by 2lt.one_ltPreorder · cited by 7952PreorderLE.le.trans_lt · cited by 795le.trans_ltIsBotOneClass · cited by 35IsBotOneClassone_le · cited by 23one_leone_lt_of_gtCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.