Theorems · Theorem · commutative algebra
Algebra.SubmersivePresentation.ofSubsingleton_algebra_algebraMap
∀ (R : Type u) (S : Type v) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [inst_3 : Subsingleton S],
algebraMap (MvPolynomial PUnit.{u_2 + 1} R) S = (MvPolynomial.aeval fun x => 1).toRingHom- Cited by
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- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Algebra.algebraMapstatement and proof · cited by 4,706
- MvPolynomialstatement and proof · cited by 2,140
- AlgHom.toRingHomstatement · cited by 490
- MvPolynomial.aevalstatement · cited by 298
- Algebra.Presentation.toGeneratorsstatement · cited by 104
- Algebra.PreSubmersivePresentation.toPresentationstatement · cited by 84
- Algebra.SubmersivePresentation.toPreSubmersivePresentationstatement · cited by 47
- Algebra.Generators.algebrastatement · cited by 9
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