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Theorems · Theorem · order theory

LE.le.not_gt

∀ {α : Type u_1} [inst : Preorder α] {a b : α}, a ≤ b → ¬b < a

Alias of not_lt_of_ge.

Defined in
Mathlib.Order.Defs.PartialOrder
Cited by
189 results in Mathlib
Foundations
Depth 6 from the axioms, rests on 12 definitions · uses no axioms
Assumes
Preorder

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Cited by189

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