Mathlib Map

Theorems · Definition · order theory

BooleanRing.sup

{α : Type u_1} → [BooleanRing α] → Max α

The join operation in a Boolean ring is x + y + x * y.

Defined in
Mathlib.Algebra.Ring.BooleanRing
Cited by
5 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext
Assumes
BooleanRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BooleanRing.sup_assoc · cited by 0BooleanRing.sup_assocBooleanRing.sup_comm · cited by 0BooleanRing.sup_commBooleanRing.sup_inf_self · cited by 0BooleanRing.sup_inf_selfBooleanRing.inf_sup_self · cited by 0BooleanRing.inf_sup_selfBooleanRing.le_sup_inf · cited by 0BooleanRing.le_sup_infBooleanRing · cited by 38BooleanRingBooleanRing.supCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.