Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.adjoin_univ
∀ (R : Type u) (A : Type v) [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A] [inst_3 : IsScalarTower R A A] [inst_4 : SMulCommClass R A A], NonUnitalAlgebra.adjoin R Set.univ = ⊤
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- Top.topstatement and proof · cited by 9,680
- Set.univstatement · cited by 3,945
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- eq_top_iffproof · cited by 236
- NonUnitalSubalgebrastatement · cited by 215
- NonUnitalAlgebra.adjoinstatement · cited by 33
- NonUnitalAlgebra.subset_adjoinproof · cited by 13
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