Theorems · Theorem · ring theory
Unitization.inr_add
∀ (R : Type u_3) {A : Type u_4} [inst : AddZeroClass R] [inst_1 : Add A] (m₁ m₂ : A), ↑(m₁ + m₂) = ↑m₁ + ↑m₂- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- AddZeroClassAdd
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.
- add_zeroproof · cited by 2,707
- AddZeroClassstatement and proof · cited by 1,237
- Unitizationstatement · cited by 220
- Unitization.inrstatement · cited by 109
- Unitization.extproof · cited by 21
Cited by6
Results whose statement or proof uses this declaration.
- CommCStarAlgebra.norm_add_eq_maxproof · cited by 3
- Unitization.isQuasiregular_inr_iffproof · cited by 2
- Unitization.convexOn_of_convexOn_inr_compproof · cited by 1
- CStarAlgebra.spectralOrderedRingproof · cited by 1
- Unitization.concaveOn_of_concaveOn_inr_compproof · cited by 0