Theorems · Theorem · commutative algebra

Algebra.TensorProduct.linearEquivIncludeRange_symm_tmul

∀ (R : Type u_1) (S : Type u_2) (T : Type u_3) [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S]
  [inst_3 : Semiring T] [inst_4 : Algebra R T] (x : ↥Algebra.TensorProduct.includeLeft.range)
  (y : ↥Algebra.TensorProduct.includeRight.range),
  (Algebra.TensorProduct.linearEquivIncludeRange R S T).symm (x ⊗ₜ[R] y) = ↑x * ↑y

Defined in: Mathlib.LinearAlgebra.TensorProduct.Subalgebra
Cited by: 0 results in Mathlib
Foundations: Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring Semiring Algebra Semiring Algebra

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DFunLike.coestatement · cited by 62,936
RingHom.idstatement · cited by 18,349
Semiringstatement and proof · cited by 13,802
Algebrastatement and proof · cited by 11,388
CommSemiringstatement and proof · cited by 10,911
LinearEquivstatement · cited by 3,317
TensorProductstatement and proof · cited by 2,545
LinearEquiv.symmstatement · cited by 1,461
Subalgebrastatement · cited by 1,353
TensorProduct.tmulstatement · cited by 1,182
AlgHom.rangestatement and proof · cited by 169
Algebra.TensorProduct.includeRightstatement and proof · cited by 165

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