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Theorems · Theorem · order theory

eq_of_forall_ge_iff

∀ {α : Type u_2} [inst : PartialOrder α] {a b : α}, (∀ (c : α), a ≤ c ↔ b ≤ c) → a = b
Defined in
Mathlib.Order.Basic
Cited by
96 results in Mathlib
Foundations
Depth 6 from the axioms, rests on 9 definitions · uses no axioms
Assumes
PartialOrder

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