Theorems · Definition · ring theory
NonUnitalStarRingHom.comp
{A : Type u_1} →
{B : Type u_2} →
{C : Type u_3} →
[inst : NonUnitalNonAssocSemiring A] →
[inst_1 : Star A] →
[inst_2 : NonUnitalNonAssocSemiring B] →
[inst_3 : Star B] →
[inst_4 : NonUnitalNonAssocSemiring C] → [inst_5 : Star C] → (B →⋆ₙ+* C) → (A →⋆ₙ+* B) → A →⋆ₙ+* CThe composition of non-unital ⋆-ring homomorphisms, as a non-unital ⋆-ring homomorphism.
- Defined in
- Mathlib.Algebra.Star.StarRingHom
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalRingHomproof · cited by 157
- NonUnitalRingHom.compproof · cited by 38
- NonUnitalStarRingHomstatement and proof · cited by 32
- NonUnitalStarRingHom.toNonUnitalRingHomproof · cited by 2
Cited by9
Results whose statement or proof uses this declaration.
- CentroidHom.starCenterToCentroidproof · cited by 2
- DirectLimit.NonUnitalStarRing.hom_extstatement and proof · cited by 1
- DirectLimit.NonUnitalStarRing.hom_ext_iffstatement and proof · cited by 0
- DirectLimit.NonUnitalStarRing.lift_comp_ofstatement · cited by 0
- NonUnitalStarRingHom.coe_compstatement · cited by 0
- NonUnitalStarRingHom.comp_applystatement · cited by 0
- NonUnitalStarRingHom.comp_assocstatement · cited by 0
- NonUnitalStarRingHom.comp_idstatement · cited by 0
- NonUnitalStarRingHom.id_compstatement · cited by 0