Theorems · Theorem · ring theory
MonoidAlgebra.mapDomainLinearMap_comp
∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} {N : Type u_4} {O : Type u_5} [inst : Semiring R] [inst_1 : Semiring S]
[inst_2 : Module R S] (f : M → N) (g : N → O),
MonoidAlgebra.mapDomainLinearMap R S (g ∘ f) =
MonoidAlgebra.mapDomainLinearMap R S g ∘ₗ MonoidAlgebra.mapDomainLinearMap R S f- Defined in
- Mathlib.Algebra.MonoidAlgebra.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
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- LinearMapstatement · cited by 10,215
- LinearMap.compstatement · cited by 1,642
- LinearMap.extproof · cited by 844
- MonoidAlgebrastatement and proof · cited by 590
- Finsupp.extproof · cited by 399
- MonoidAlgebra.coeffproof · cited by 224
- Finsupp.mapDomainproof · cited by 168
- MonoidAlgebra.extproof · cited by 78
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