Theorems · Theorem · ring theory
Module.toModuleEnd_apply
∀ (R : Type u_1) {S : Type u_3} (M : Type u_4) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
[inst_3 : Semiring S] [inst_4 : Module S M] [inst_5 : SMulCommClass S R M] (s : S),
(Module.toModuleEnd R M) s = DistribSMul.toLinearMap R M s- Defined in
- Mathlib.Algebra.Module.LinearMap.End
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- SMulCommClassstatement and proof · cited by 1,927
- Module.Endstatement · cited by 774
- DistribSMul.toLinearMapstatement · cited by 50
- Module.toModuleEndstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Module.Invertible.toModuleEnd_bijectiveproof · cited by 0
- Module.Finite.toModuleEnd_moduleEnd_surjectiveproof · cited by 0