Theorems · Theorem · commutative algebra
IsAlgebraic.sub
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [NoZeroDivisors R]
{a b : S}, IsAlgebraic R a → IsAlgebraic R b → IsAlgebraic R (a - b)- Defined in
- Mathlib.RingTheory.Algebraic.Integral
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- sub_eq_add_negproof · cited by 1,023
- NoZeroDivisorsstatement and proof · cited by 545
- IsAlgebraicstatement and proof · cited by 163
- IsAlgebraic.addproof · cited by 3
- IsAlgebraic.negproof · cited by 1
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