Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.toNonUnitalSubring_eq_top
∀ {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 = ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Top.topstatement · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Set.univproof · cited by 3,945
- NonUnitalSubalgebrastatement and proof · cited by 215
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubalgebra.toNonUnitalSubringstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalAlgebra.to_subring_eq_topproof · cited by 0