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Theorems · Theorem · linear algebra

Module.DualBases.total

∀ {R : Type u_1} {M : Type u_2} {ι : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {e : ι → M} {ε : ι → Module.Dual R M},
  Module.DualBases e ε → ∀ {m₁ m₂ : M}, (∀ (i : ι), (ε i) m₁ = (ε i) m₂) → m₁ = m₂
Defined in
Mathlib.LinearAlgebra.Dual.Basis
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses no axioms
Assumes
CommSemiringAddCommMonoidModule
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Around this declaration

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Module.DualBases.lc_coeffs · cited by 0DualBases.lc_coeffsDFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringModule.Dual · cited by 583Module.DualModule.DualBases · cited by 15Module.DualBasesDualBases.totalCITED BYCITES

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