Theorems · Inductive type · order theory

IsCompl

{α : Type u_1} → [inst : PartialOrder α] → [BoundedOrder α] → α → α → Prop

Two elements x and y are complements of each other if x ⊔ y = ⊤ and x ⊓ y = ⊥.

Defined in: Mathlib.Order.Disjoint
Cited by: 351 results in Mathlib
Foundations: Depth 2 from the axioms, rests on 7 definitions · uses no axioms
Assumes: PartialOrder BoundedOrder

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