Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.to_subring_eq_top
Deprecated since 2026-01-01Use NonUnitalAlgebra.toNonUnitalSubring_eq_top instead.
∀ {R : Type u_2} {A : Type u_3} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A]
{S : NonUnitalSubalgebra R A}, S.toNonUnitalSubring = ⊤ ↔ S = ⊤Alias of NonUnitalAlgebra.toNonUnitalSubring_eq_top.
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- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- Algebrastatement · cited by 11,388
- Top.topstatement · cited by 9,680
- Ringstatement · cited by 7,463
- NonUnitalSubalgebrastatement · cited by 215
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubalgebra.toNonUnitalSubringstatement · cited by 9
- NonUnitalAlgebra.toNonUnitalSubring_eq_topproof · cited by 1
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