Theorems · Theorem · commutative algebra
Units.mulLeftLinearEquiv_apply
∀ (R : Type u_9) {A : Type u_10} [inst : Semiring R] [inst_1 : Semiring A] [inst_2 : Module R A]
[inst_3 : SMulCommClass R A A] (a : Aˣ) (x : A), ((Units.mulLeftLinearEquiv R A) a) x = ↑a * x- Defined in
- Mathlib.Algebra.Module.Equiv.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- MonoidHomstatement · cited by 3,629
- LinearEquivstatement · cited by 3,317
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- SMulCommClassstatement and proof · cited by 1,927
- Units.mulLeftLinearEquivstatement · cited by 9
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