Theorems · Definition · ring theory
Unitization.equiv
{R : Type u_1} → {A : Type u_2} → Unitization R A ≃ R × AThe canonical equivalence between Unitization R A and R × A.
- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Unitizationstatement · cited by 220
- Unitization.toProdproof · cited by 76
- Unitization.toProd_mkproof · cited by 0
- Unitization.mk_toProdproof · cited by 0
Cited by10
Results whose statement or proof uses this declaration.
- Unitization.addEquivproof · cited by 9
- Unitization.toProd_injectiveproof · cited by 1
- Unitization.toEquiv_addEquivstatement · cited by 0
- Unitization.toProd_bijectiveproof · cited by 0
- Unitization.equiv_applystatement and proof · cited by 0
- Unitization.equiv_symm_applystatement and proof · cited by 0
- Unitization.mk_bijectiveproof · cited by 0
- Unitization.mk_injectiveproof · cited by 0
- Unitization.mk_surjectiveproof · cited by 0
- Unitization.toProd_surjectiveproof · cited by 0