Theorems · Definition · order theory
RingHom.asBoolAlg
{α : Type u_1} →
{β : Type u_2} →
[inst : BooleanRing α] → [inst_1 : BooleanRing β] → (α →+* β) → BoundedLatticeHom (AsBoolAlg α) (AsBoolAlg β)Turn a ring homomorphism from Boolean rings α to β into a bounded lattice homomorphism
from α to β considered as Boolean algebras.
- Defined in
- Mathlib.Algebra.Ring.BooleanRing
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanRingBooleanRing
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 and proof · cited by 10,189
- BoundedLatticeHomstatement · cited by 185
- BooleanRingstatement and proof · cited by 38
- AsBoolAlgstatement and proof · cited by 28
- ofBoolAlgproof · cited by 16
- toBoolAlgproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- BoolRing.hasForgetToBoolAlg_forget₂_mapstatement · cited by 0
- RingHom.asBoolAlg_compstatement · cited by 0
- RingHom.asBoolAlg_idstatement · cited by 0
- RingHom.asBoolAlg_toFunstatement and proof · cited by 0