Theorems · Theorem · commutative algebra
RingHom.quotientKerEquivOfSurjective.congr_simp
∀ {R : Type u} {S : Type v} [inst : Ring R] [inst_1 : Semiring S] {f : R →+* S} (hf : Function.Surjective ⇑f),
RingHom.quotientKerEquivOfSurjective hf = RingHom.quotientKerEquivOfSurjective hf- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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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.quotientKerEquivOfSurjectivestatement and proof · cited by 4
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