Theorems · Theorem · commutative algebra
Algebra.IsAlgebraic.trans_isIntegral
∀ (R : Type u_1) (S : Type u_2) (A : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Ring A] [inst_3 : Algebra R S] [inst_4 : Algebra R A] [inst_5 : Algebra S A] [IsScalarTower R S A] [NoZeroDivisors S] [Algebra.IsAlgebraic R S] [int : Algebra.IsIntegral S A], Algebra.IsAlgebraic R A
- Defined in
- Mathlib.RingTheory.Algebraic.Integral
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- IsScalarTowerstatement and proof · cited by 3,896
- NoZeroDivisorsstatement and proof · cited by 545
- Algebra.IsAlgebraicstatement and proof · cited by 322
- Algebra.IsIntegralstatement and proof · cited by 224
- Algebra.IsIntegral.isIntegralproof · cited by 86
- IsIntegral.trans_isAlgebraicproof · cited by 1
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