Theorems · Theorem · commutative algebra
Algebra.PreSubmersivePresentation.toGenerators_comp
∀ {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
{ι' : Type u_1} {σ' : Type u_2} {T : Type u_3} [inst_3 : CommRing T] [inst_4 : Algebra R T] [inst_5 : Algebra S T]
[inst_6 : IsScalarTower R S T] (Q : Algebra.PreSubmersivePresentation S T ι' σ')
(P : Algebra.PreSubmersivePresentation R S ι σ), (Q.comp P).toGenerators = Q.comp P.toGenerators- Cited by
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- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- IsScalarTowerstatement and proof · cited by 3,896
- Algebra.Generatorsstatement · cited by 152
- Algebra.Presentation.toGeneratorsstatement · cited by 104
- Algebra.PreSubmersivePresentation.toPresentationstatement · cited by 84
- Algebra.PreSubmersivePresentationstatement and proof · cited by 54
- Algebra.Generators.compstatement · cited by 52
- Algebra.PreSubmersivePresentation.compstatement · cited by 6
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