Theorems · Theorem · commutative algebra
CommRingCat.epi_iff_epi
∀ {R S : Type u} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S],
CategoryTheory.Epi (CommRingCat.ofHom (algebraMap R S)) ↔ Algebra.IsEpi R S- Defined in
- Mathlib.Algebra.Category.Ring.Epi
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Algebra.algebraMapstatement and proof · cited by 4,706
- mul_oneproof · cited by 3,885
- AlgHomproof · cited by 3,236
- one_mulproof · cited by 2,841
- CommRingCatstatement and proof · cited by 2,333
- TensorProduct.tmulproof · cited by 1,182
- CommRingCat.carrierproof · cited by 1,096
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.surjective_of_epi_of_finiteproof · cited by 1
- CommRingCat.epi_iff_tmul_eq_tmulproof · cited by 0