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Theorems · Theorem · commutative algebra

IsAdjoinRoot.map_surjective

∀ {R : Type u} {S : Type v} [inst : CommSemiring R] [inst_1 : Semiring S] [inst_2 : Algebra R S] {f : Polynomial R}
  (self : IsAdjoinRoot S f), Function.Surjective ⇑self.map
Defined in
Mathlib.RingTheory.IsAdjoinRoot
Cited by
2 results in Mathlib
Foundations
Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringSemiringAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsAdjoinRoot.map_repr · cited by 9IsAdjoinRoot.map_reprIsAdjoinRoot.adjoin_root_eq_top · cited by 1IsAdjoinRoot.adjoin_root_…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringPolynomial · cited by 5681PolynomialAlgHom · cited by 3236AlgHomIsAdjoinRoot · cited by 61IsAdjoinRootIsAdjoinRoot.map · cited by 32IsAdjoinRoot.mapIsAdjoinRoot.map_surjectiveCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.