Theorems · Theorem · ring theory
Module.End.smulLeft_eq
∀ {M : Type u_4} [inst : AddCommMonoid M] {R : Type u_9} [inst_1 : CommSemiring R] [inst_2 : Module R M] (α : R)
(hα : autoParam (α ∈ Set.center R) Module.End.smulLeft_eq._auto_1), Module.End.smulLeft α hα = α • LinearMap.id- Defined in
- Mathlib.Algebra.Module.LinearMap.End
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- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Module.Endstatement · cited by 774
- LinearMap.idstatement · cited by 625
- Set.centerstatement and proof · cited by 49
- Module.End.smulLeftstatement · cited by 8
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