Theorems · Theorem · commutative algebra
Algebra.Generators.Hom.ext
∀ {R : Type u} {S : Type v} {ι : Type w} {inst : CommRing R} {inst_1 : CommRing S} {inst_2 : Algebra R S}
{P : Algebra.Generators R S ι} {R' : Type u_1} {S' : Type u_2} {ι' : Type u_3} {inst_3 : CommRing R'}
{inst_4 : CommRing S'} {inst_5 : Algebra R' S'} {P' : Algebra.Generators R' S' ι'} {inst_6 : Algebra S S'}
{x y : P.Hom P'}, x.val = y.val → x = y- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Algebra.algebraMapproof · cited by 4,706
- MvPolynomial.aevalproof · cited by 298
- Algebra.Generatorsstatement and proof · cited by 152
- Algebra.Generators.Ringstatement and proof · cited by 133
- Algebra.Generators.valproof · cited by 115
- Algebra.Generators.Homstatement and proof · cited by 28
- Algebra.Generators.Hom.valstatement and proof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.Generators.Hom.ext_iffproof · cited by 0
- Algebra.Generators.Hom.comp_idproof · cited by 0
- Algebra.Generators.Hom.id_compproof · cited by 0