Theorems · Theorem · ring theory
RingHom.coe_comp
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} {x : NonAssocSemiring α} {x_1 : NonAssocSemiring β}
{x_2 : NonAssocSemiring γ} (hnp : β →+* γ) (hmn : α →+* β), ⇑(hnp.comp hmn) = ⇑hnp ∘ ⇑hmn- Defined in
- Mathlib.Algebra.Ring.Hom.Defs
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
Cited by17
Results whose statement or proof uses this declaration.
- AlgebraicIndependent.restrictScalarsproof · cited by 3
- RingHom.SurjectiveOnStalks.compproof · cited by 3
- AlgebraicIndependent.option_iff_transcendentalproof · cited by 3
- IsFractionRing.ringHom_fieldRange_eq_of_comp_eqproof · cited by 3
- MvPolynomial.comp_C_integral_of_surjective_of_isJacobsonRingproof · cited by 2
- algebraMap_injective_of_field_isFractionRingproof · cited by 2
- PrimeSpectrum.finite_of_toPiLocalization_surjectiveproof · cited by 1
- AlgebraicGeometry.IsClosedImmersion.isAffine_surjective_of_isAffineproof · cited by 1
- IsFractionRing.ideal_span_singleton_map_subsetproof · cited by 1
- Ideal.Fiber.lift_residueField_surjectiveproof · cited by 1
- RingHom.SurjectiveOnStalks.of_compproof · cited by 0
- MaximalSpectrum.finite_of_toPiLocalization_surjectiveproof · cited by 0