Theorems · Theorem · commutative algebra
Algebra.Extension.Hom.id_comp
∀ {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'] (f : P.Hom P'),
(Algebra.Extension.Hom.id P').comp f = f- Defined in
- Mathlib.RingTheory.Extension.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHom.extproof · cited by 331
- Algebra.Extension.Ringproof · cited by 179
- Algebra.Extensionstatement and proof · cited by 138
- Algebra.Extension.Homstatement and proof · cited by 51
- RingHomCompTriple.comp_eqproof · cited by 38
- Algebra.Extension.Hom.toRingHomproof · cited by 31
- Algebra.Extension.Hom.compstatement · cited by 17
- Algebra.Extension.Hom.idstatement · cited by 8
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