Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.top_toSubring
Deprecated since 2026-01-03Use NonUnitalAlgebra.toNonUnitalSubring_top instead.
∀ {R : Type u_2} {A : Type u_3} [inst : CommRing R] [inst_1 : NonUnitalNonAssocRing A] [inst_2 : Module R A]
[inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A], ⊤.toNonUnitalSubring = ⊤Alias of NonUnitalAlgebra.toNonUnitalSubring_top.
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- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement · cited by 20,661
- CommRingstatement · cited by 17,173
- Top.topstatement · cited by 9,680
- IsScalarTowerstatement · cited by 3,896
- SMulCommClassstatement · cited by 1,927
- NonUnitalNonAssocRingstatement · cited by 354
- NonUnitalSubalgebrastatement · cited by 215
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubalgebra.toNonUnitalSubringstatement · cited by 9
- NonUnitalAlgebra.toNonUnitalSubring_topproof · cited by 1
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