Theorems · Theorem · commutative algebra
RingHom.quotientKerEquivOfRightInverse.congr_simp
∀ {R : Type u} {S : Type v} [inst : Ring R] [inst_1 : Semiring S] {f : R →+* S} {g g_1 : S → R} (e_g : g = g_1)
(hf : Function.RightInverse g ⇑f),
RingHom.quotientKerEquivOfRightInverse hf = RingHom.quotientKerEquivOfRightInverse ⋯- Defined in
- Mathlib.RingTheory.Trace.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Idealstatement · cited by 4,748
- HasQuotient.Quotientstatement · cited by 2,301
- RingEquivstatement · cited by 1,147
- RingHom.kerstatement · cited by 363
- RingHom.quotientKerEquivOfRightInversestatement and proof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.