Theorems · Definition · commutative algebra
FreeRing.toFreeCommRing
{α : Type u_1} → FreeRing α →+* FreeCommRing αThe canonical ring homomorphism from the free ring generated by α to the free commutative ring
generated by α.
- Defined in
- Mathlib.RingTheory.FreeCommRing
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, 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.
- DFunLike.coeproof · cited by 62,936
- RingHomstatement · cited by 10,189
- FreeCommRingstatement · cited by 43
- FreeCommRing.ofproof · cited by 34
- FreeRingstatement · cited by 20
- FreeRing.liftproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- FreeRing.castFreeCommRingproof · cited by 9
- FreeRing.coe_subproof · cited by 0
- FreeRing.coe_negproof · cited by 0
- FreeRing.coeRingHomproof · cited by 0