Theorems · Theorem · commutative algebra
RingHom.isIntegralElem.of_comp
∀ {R : Type u_1} {S : Type u_4} {T : Type u_5} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
(f : R →+* S) (g : S →+* T) {x : T}, (g.comp f).IsIntegralElem x → g.IsIntegralElem x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- RingHomstatement and proof · cited by 10,189
- Polynomialproof · cited by 5,681
- RingHom.compstatement and proof · cited by 899
- Polynomial.mapproof · cited by 806
- Polynomial.Monicproof · cited by 461
- Polynomial.eval₂proof · cited by 267
- Polynomial.Monic.mapproof · cited by 52
- RingHom.IsIntegralElemstatement and proof · cited by 33
- Polynomial.eval₂_mapproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.IsIntegral.tower_topproof · cited by 4