Theorems · Theorem · field theory
AdjoinRoot.evalEval_mk
∀ {R : Type u_1} [inst : CommRing R] {x y : R} {p : Polynomial (Polynomial R)} (h : Polynomial.evalEval x y p = 0)
(g : Polynomial (Polynomial R)), (AdjoinRoot.evalEval h) ((AdjoinRoot.mk p) g) = Polynomial.evalEval x y g- Defined in
- Mathlib.Algebra.Polynomial.Bivariate
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- AdjoinRootstatement and proof · cited by 177
- Polynomial.evalEvalstatement and proof · cited by 53
- AdjoinRoot.mkstatement and proof · cited by 50
- AdjoinRoot.lift_mkproof · cited by 6
- AdjoinRoot.evalEvalstatement · cited by 2
- Polynomial.eval₂_evalRingHomproof · cited by 2
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