Theorems · Definition · nonassociative algebras
CentroidHom.centerToCentroidCenter
{α : Type u_5} →
[inst : NonUnitalNonAssocSemiring α] → ↥(NonUnitalSubsemiring.center α) →ₙ+* ↥(Subsemiring.center (CentroidHom α))The canonical homomorphism from the center into the center of the centroid
- Defined in
- Mathlib.Algebra.Ring.CentroidHom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
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.
- DFunLike.coeproof · cited by 62,936
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Subsemiringstatement · cited by 456
- NonUnitalSubsemiringstatement · cited by 201
- NonUnitalRingHomstatement · cited by 157
- CentroidHomstatement · cited by 67
- AddMonoid.Endproof · cited by 64
- NonUnitalSubsemiring.centerstatement and proof · cited by 22
- Subsemiring.centerstatement · cited by 18
- AddMonoid.End.mulLeftproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- CentroidHom.centerToCentroidproof · cited by 2
- CentroidHom.starCenterToCentroidCenterproof · cited by 0
- CentroidHom.star_centerToCentroidCenterstatement · cited by 0
- CentroidHom.centerToCentroidCenter_applystatement · cited by 0