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Theorems · Theorem · linear algebra

PiTensorProduct.zero_tprodCoeff

∀ {ι : Type u_1} {R : Type u_4} [inst : CommSemiring R] {s : ι → Type u_7} [inst_1 : (i : ι) → AddCommMonoid (s i)]
  [inst_2 : (i : ι) → Module R (s i)] (f : (i : ι) → s i), PiTensorProduct.tprodCoeff R 0 f = 0
Defined in
Mathlib.LinearAlgebra.PiTensorProduct.Basic
Cited by
1 results in Mathlib
Foundations
Depth 42 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringAddCommMonoidModule
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PiTensorProduct.induction_on' · cited by 3PiTensorProduct.induction…Module · cited by 20661ModuleAddCommMonoid · cited by 12281AddCommMonoidCommSemiring · cited by 10911CommSemiringPiTensorProduct · cited by 181PiTensorProductFreeAddMonoid.of · cited by 69FreeAddMonoid.ofQuotient.sound' · cited by 30Quotient.sound'PiTensorProduct.tprodCoeff · cited by 13PiTensorProduct.tprodCoeffPiTensorProduct.zero_tprodCoe…CITED BYCITES

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