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Theorems · Theorem · order theory

sup_of_le_left

∀ {α : Type u} [inst : SemilatticeSup α] {a b : α}, b ≤ a → a ⊔ b = a

Alias of the reverse direction of sup_eq_left.

Defined in
Mathlib.Order.Lattice
Cited by
218 results in Mathlib
Foundations
Depth 8 from the axioms, rests on 24 definitions · uses propext
Assumes
SemilatticeSup

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Cited by218

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