Theorems · Theorem · commutative algebra
IsIntegral.tmul
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Ring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] (x : A) {y : B}, IsIntegral R y → IsIntegral A (x ⊗ₜ[R] y)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Algebra.algebraMapproof · cited by 4,706
- mul_oneproof · cited by 3,885
- TensorProductstatement and proof · cited by 2,545
- TensorProduct.tmulstatement and proof · cited by 1,182
- AlgHom.toRingHomproof · cited by 490
- IsIntegralstatement and proof · cited by 427
- smul_eq_mulproof · cited by 357
- Algebra.TensorProduct.includeRightproof · cited by 165
- TensorProduct.smul_tmul'proof · cited by 24
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