Theorems · Theorem · commutative algebra
FreeCommRing.hom_ext
∀ {α : Type u} {R : Type v} [inst : CommRing R] ⦃f g : FreeCommRing α →+* R⦄,
(∀ (x : α), f (FreeCommRing.of x) = g (FreeCommRing.of x)) → f = g- Defined in
- Mathlib.RingTheory.FreeCommRing
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Equiv.symmproof · cited by 3,681
- Equiv.injectiveproof · cited by 464
- FreeCommRingstatement and proof · cited by 43
- FreeCommRing.ofstatement and proof · cited by 34
- FreeCommRing.liftproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Ring.DirectLimit.hom_extproof · cited by 5
- CommRingCat.Limits.isUnit_iff_forall_isUnitproof · cited by 1
- FreeCommRing.hom_ext_iffproof · cited by 0