Theorems · Definition · order theory
RingEquiv.asBoolRingAsBoolAlg
(α : Type u_4) → [inst : BooleanRing α] → AsBoolRing (AsBoolAlg α) ≃+* α
Ring isomorphism between α considered as a Boolean algebra considered as a Boolean ring and
α.
- Defined in
- Mathlib.Algebra.Ring.BooleanRing
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- RingEquivstatement · cited by 1,147
- Equiv.transproof · cited by 337
- BooleanRingstatement and proof · cited by 38
- AsBoolAlgstatement and proof · cited by 28
- AsBoolRingstatement and proof · cited by 26
- ofBoolAlgproof · cited by 16
- ofBoolRingproof · cited by 15
- ofBoolAlg_symmDiffproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- boolRingCatEquivBoolAlgproof · cited by 2
- RingEquiv.asBoolRingAsBoolAlg_applystatement and proof · cited by 0
- RingEquiv.asBoolRingAsBoolAlg_symm_applystatement and proof · cited by 0