Theorems · Definition · ring theory
Unitization.addEquiv
(R : Type u_3) → (A : Type u_4) → [inst : Add R] → [inst_1 : Add A] → Unitization R A ≃+ R × A
The identity map between Unitization R A and R × A as an AddEquiv.
- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- AddEquivstatement · cited by 1,087
- Unitizationstatement and proof · cited by 220
- Unitization.equivproof · cited by 9
Cited by12
Results whose statement or proof uses this declaration.
- Unitization.linearEquivproof · cited by 4
- Unitization.lipschitzWith_addEquivstatement and proof · cited by 2
- Unitization.addEquiv_applystatement and proof · cited by 2
- Unitization.uniformEquivProdproof · cited by 2
- Unitization.antilipschitzWith_addEquivstatement and proof · cited by 2
- WithLp.unitization_addEquiv_prodproof · cited by 1
- Unitization.toAddEquiv_linearEquivstatement · cited by 0
- Unitization.toEquiv_addEquivstatement · cited by 0
- Unitization.isUniformEmbedding_addEquivstatement and proof · cited by 0
- Unitization.addEquiv_symm_applystatement and proof · cited by 0
- Unitization.uniformity_eq_auxstatement and proof · cited by 0
- Unitization.cobounded_eq_auxstatement · cited by 0