Theorems · Theorem · commutative algebra
RingHom.IsIntegral.tower_top
∀ {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), (g.comp f).IsIntegral → g.IsIntegral- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- RingHom.compstatement and proof · cited by 899
- RingHom.IsIntegralstatement and proof · cited by 54
- RingHom.isIntegralElem.of_compproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Algebra.IsIntegral.tower_topproof · cited by 3
- exists_integral_inj_algHom_of_quotientproof · cited by 1
- RingHom.IsIntegral.kerLiftproof · cited by 0
- isIntegral_quotientMap_iffproof · cited by 0