Theorems · Theorem · commutative algebra
IsAlgebraic.neg
∀ {R : Type u_1} {A : Type u_3} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A] {a : A},
IsAlgebraic R a → IsAlgebraic R (-a)- Defined in
- Mathlib.RingTheory.Algebraic.Integral
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Polynomialproof · cited by 5,681
- neg_negproof · cited by 960
- Polynomial.aevalproof · cited by 615
- IsAlgebraicstatement and proof · cited by 163
- Polynomial.aeval_Xproof · cited by 120
- Polynomial.aeval_compproof · cited by 14
- EmbeddingLike.map_ne_zero_iffproof · cited by 6
- Polynomial.aeval_negproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsAlgebraic.subproof · cited by 0