Theorems · Theorem · ring theory
Unitization.inl_mul
∀ {R : Type u_1} (A : Type u_2) [inst : Mul R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : SMulZeroClass R A]
(r₁ r₂ : R), Unitization.inl (r₁ * r₂) = Unitization.inl r₁ * Unitization.inl r₂- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- smul_zeroproof · cited by 665
- Unitizationstatement · cited by 220
- SMulZeroClassstatement and proof · cited by 213
- Unitization.inlstatement · cited by 27
- Unitization.extproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Unitization.inl_mul_inlproof · cited by 0