Theorems · Theorem · commutative algebra
CommRingCat.epi_iff_tmul_eq_tmul
Deprecated since 2026-01-13Use CommRingCat.epi_iff_epi instead.
∀ {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 SAlias of CommRingCat.epi_iff_epi.
- Defined in
- Mathlib.Algebra.Category.Ring.Epi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- Algebrastatement · cited by 11,388
- Algebra.algebraMapstatement · cited by 4,706
- CommRingCatstatement · cited by 2,333
- CategoryTheory.Epistatement · cited by 688
- CommRingCat.ofHomstatement · cited by 259
- Algebra.IsEpistatement · cited by 18
- CommRingCat.epi_iff_epiproof · cited by 2
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