Theorems · Theorem · ring theory
Unitization.ext
∀ {R : Type u_1} {A : Type u_2} {x y : Unitization R A}, x.toProd.1 = y.toProd.1 → x.toProd.2 = y.toProd.2 → x = y- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitizationstatement and proof · cited by 220
- Unitization.toProdstatement and proof · cited by 76
Cited by21
Results whose statement or proof uses this declaration.
- Unitization.inr_mulproof · cited by 9
- Unitization.inr_smulproof · cited by 8
- Unitization.inr_addproof · cited by 6
- Unitization.inr_negproof · cited by 4
- Unitization.inr_starproof · cited by 3
- Unitization.inr_subproof · cited by 3
- AlgHomClass.unitization_injective'proof · cited by 1
- cfcₙAux_mem_range_inrproof · cited by 1
- Unitization.starMap_injectiveproof · cited by 1
- Unitization.inl_fst_add_inr_snd_eqproof · cited by 1
- Unitization.inl_mulproof · cited by 1
- Unitization.inl_mul_inrproof · cited by 0