Theorems · Theorem · ring theory
Unitization.inl_mul_inr
∀ {R : Type u_1} {A : Type u_2} [inst : MulZeroClass R] [inst_1 : NonUnitalNonAssocSemiring A]
[inst_2 : SMulZeroClass R A] (r : R) (a : A), Unitization.inl r * ↑a = ↑(r • a)- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
Around this declaration
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Cites13
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
- MulZeroClass.zero_mulproof · cited by 1,625
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- smul_zeroproof · cited by 665
- MulZeroClassstatement and proof · cited by 232
- Unitizationstatement · cited by 220
- SMulZeroClassstatement and proof · cited by 213
- Unitization.inrstatement · cited by 109
- Unitization.toProdproof · cited by 76
- Unitization.inlstatement · cited by 27
- Unitization.extproof · cited by 21
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