Theorems · Theorem · linear algebra
LinearMap.snd_prodOfFinsuppNat
∀ {R : Type u_1} {M : Type u_2} {P : Type u_4} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
[inst_3 : AddCommMonoid P] [inst_4 : Module R P] (f : P × M →ₗ[R] M) (x : ℕ →₀ P),
(f.prodOfFinsuppNat x).2 = f (f.prodOfFinsuppNat ((Finsupp.comapDomain.addMonoidHom ⋯) x))- Defined in
- Mathlib.LinearAlgebra.Finsupp.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
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- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement and proof · cited by 10,215
- Finsuppstatement and proof · cited by 5,255
- Finset.sumproof · cited by 5,195
- AddMonoidHomstatement · cited by 3,230
- Finset.sum_congrproof · cited by 2,323
- LinearMap.compproof · cited by 1,642
- pow_zeroproof · cited by 1,094
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