Theorems · Inductive type · order theory
BooleanRing
Type u_4 → Type u_4
A Boolean ring is a ring where multiplication is idempotent.
- Defined in
- Mathlib.Algebra.Ring.BooleanRing
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by56
Results whose statement or proof uses this declaration.
- BooleanRing.mul_selfstatement and proof · cited by 7
- BooleanRing.add_selfstatement and proof · cited by 6
- BooleanRing.infstatement and proof · cited by 5
- BooleanRing.supstatement and proof · cited by 5
- RingHom.asBoolAlgstatement and proof · cited by 4
- BooleanRing.neg_eqstatement and proof · cited by 2
- RingEquiv.asBoolRingAsBoolAlgstatement and proof · cited by 2
- BoolRing.ofHomstatement and proof · cited by 1
- BooleanRing.isIdempotentElemstatement and proof · cited by 1
- BooleanRing.le_sup_inf_auxstatement and proof · cited by 1
- BoolRing.of.injstatement and proof · cited by 1
- BoolRing.of.noConfusionstatement and proof · cited by 1