Theorems · Theorem · ring theory
Unitization.inl_fst_add_inr_snd_eq
∀ {R : Type u_3} {A : Type u_4} [inst : AddZeroClass R] [inst_1 : AddZeroClass A] (x : Unitization R A),
Unitization.inl x.toProd.1 + ↑x.toProd.2 = x- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- AddZeroClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- AddZeroClassstatement and proof · cited by 1,237
- Unitizationstatement and proof · cited by 220
- Unitization.inrstatement · cited by 109
- Unitization.toProdstatement and proof · cited by 76
- Unitization.inlstatement · cited by 27
- Unitization.extproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Unitization.indproof · cited by 6