Theorems · Definition · order theory
BoundedLatticeHom.asBoolRing
{α : Type u_1} →
{β : Type u_2} →
[inst : BooleanAlgebra α] → [inst_1 : BooleanAlgebra β] → BoundedLatticeHom α β → AsBoolRing α →+* AsBoolRing βTurn a bounded lattice homomorphism from Boolean algebras α to β into a ring homomorphism
from α to β considered as Boolean rings.
- Defined in
- Mathlib.Algebra.Ring.BooleanRing
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebraBooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomstatement · cited by 10,189
- BooleanAlgebrastatement and proof · cited by 300
- BoundedLatticeHomstatement and proof · cited by 185
- AsBoolRingstatement · cited by 26
- ofBoolRingproof · cited by 15
- toBoolRingproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- BoundedLatticeHom.asBoolRing_applystatement and proof · cited by 0
- BoundedLatticeHom.asBoolRing_compstatement · cited by 0
- BoundedLatticeHom.asBoolRing_idstatement · cited by 0
- BoolAlg.hasForgetToBoolRing_forget₂_mapstatement · cited by 0