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Theorems · Theorem · commutative algebra

RingHom.isIntegralElem_zero

∀ {R : Type u_1} {B : Type u_3} [inst : CommRing R] [inst_1 : Ring B] (f : R →+* B), f.IsIntegralElem 0
Defined in
Mathlib.RingTheory.IntegralClosure.IsIntegral.Basic
Cited by
3 results in Mathlib
Foundations
Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingRing
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Around this declaration

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

isIntegral_zero · cited by 7isIntegral_zeroRingHom.isIntegralElem_leadingCoeff_mul · cited by 2RingHom.isIntegralElem_le…MvPolynomial.finite_universalFactorizationMap · cited by 0MvPolynomial.finite_unive…CommRing · cited by 17173CommRingRingHom · cited by 10189RingHomRing · cited by 7463RingRingHom.map_zero · cited by 47RingHom.map_zeroRingHom.IsIntegralElem · cited by 33RingHom.IsIntegralElemRingHom.isIntegralElem_map · cited by 8RingHom.isIntegralElem_mapRingHom.isIntegralElem_zeroCITED BYCITES

Cites6

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Cited by3

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