Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.adjoin_eq
∀ {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] (s : NonUnitalSubalgebra R A),
NonUnitalAlgebra.adjoin R ↑s = s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- SetLike.coestatement · cited by 8,199
- IsScalarTowerstatement and proof · cited by 3,896
- le_antisymmproof · cited by 2,068
- SMulCommClassstatement and proof · cited by 1,927
- le_rflproof · cited by 1,558
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubalgebrastatement and proof · cited by 215
- NonUnitalAlgebra.adjoinstatement · cited by 33
- NonUnitalAlgebra.subset_adjoinproof · cited by 13
- NonUnitalAlgebra.adjoin_leproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.adjoin_nonUnitalSubalgebra_eq_spanproof · cited by 0