Theorems · Theorem · commutative algebra
Algebra.Extension.Hom.ext
∀ {R : Type u} {S : Type v} {inst : CommRing R} {inst_1 : CommRing S} {inst_2 : Algebra R S} {P : Algebra.Extension R S}
{R' : Type u_1} {S' : Type u_2} {inst_3 : CommRing R'} {inst_4 : CommRing S'} {inst_5 : Algebra R' S'}
{P' : Algebra.Extension R' S'} {inst_6 : Algebra R R'} {inst_7 : Algebra S S'} {x y : P.Hom P'},
x.toRingHom = y.toRingHom → x = y- Defined in
- Mathlib.RingTheory.Extension.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, 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.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- Algebra.Extension.Ringstatement and proof · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- Algebra.Extension.Homstatement and proof · cited by 51
- Algebra.Extension.Hom.toRingHomstatement and proof · cited by 31
Cited by5
Results whose statement or proof uses this declaration.
- Algebra.Extension.Hom.ext_iffproof · cited by 0
- Algebra.Extension.Hom.id_compproof · cited by 0
- Algebra.Generators.Hom.toExtensionHom_idproof · cited by 0
- Algebra.Generators.Hom.toExtensionHom_compproof · cited by 0
- Algebra.Extension.Hom.comp_idproof · cited by 0