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Theorems · Theorem · order theory

IsMax.mono

∀ {α : Type u_1} [inst : Preorder α] {a b : α}, IsMax a → a ≤ b → IsMax b
Defined in
Mathlib.Order.Max
Cited by
2 results in Mathlib
Foundations
Depth 6 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.succ_le_succ · cited by 7Order.succ_le_succSet.Ico_succ_left_eq_Ioo · cited by 4Set.Ico_succ_left_eq_IooPreorder · cited by 7952PreorderIsMax · cited by 372IsMaxLE.le.trans' · cited by 140le.trans'IsMax.monoCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.