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Theorems · Theorem · order theory

sup_of_le_right

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

Alias of the reverse direction of sup_eq_right.

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

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