Theorems · Theorem · ring theory
Unitization.inl_smul
∀ {S : Type u_2} {R : Type u_3} (A : Type u_4) [inst : Zero A] [inst_1 : SMul S R] [inst_2 : SMulZeroClass S A] (s : S)
(r : R), Unitization.inl (s • r) = s • Unitization.inl r- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- ZeroSMulSMulZeroClass
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
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