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Theorems · Theorem · linear algebra

LinearMap.proj_apply

∀ {R : Type u} {ι : Type x} [inst : Semiring R] {φ : ι → Type i} [inst_1 : (i : ι) → AddCommMonoid (φ i)]
  [inst_2 : (i : ι) → Module R (φ i)] (i : ι) (b : (i : ι) → φ i), (LinearMap.proj i) b = b i
Defined in
Mathlib.LinearAlgebra.Pi
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses Quot.sound
Assumes
SemiringAddCommMonoidModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MvPowerSeries.coeff_monomial · cited by 17MvPowerSeries.coeff_monom…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidLinearMap · cited by 10215LinearMapLinearMap.proj · cited by 71LinearMap.projLinearMap.proj_applyCITED BYCITES

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Cited by1

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