Theorems · Theorem · nonassociative algebras
NonUnitalAlgebra.gc
∀ {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],
GaloisConnection (NonUnitalAlgebra.adjoin R) SetLike.coe- Cited by
- 5 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- IsScalarTowerstatement and proof · cited by 3,896
- LE.le.transproof · cited by 3,151
- SMulCommClassstatement and proof · cited by 1,927
- Submodule.spanproof · cited by 1,504
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- GaloisConnectionstatement · cited by 253
- Submodule.subset_spanproof · cited by 234
- NonUnitalSubalgebrastatement and proof · cited by 215
Cited by6
Results whose statement or proof uses this declaration.
- NonUnitalAlgebra.adjoin_leproof · cited by 6
- NonUnitalAlgebra.adjoin_le_iffproof · cited by 1
- NonUnitalAlgebra.giproof · cited by 1
- NonUnitalAlgebra.adjoin_unionproof · cited by 1
- NonUnitalAlgebra.adjoin_emptyproof · cited by 1
- NonUnitalAlgebra.adjoin_monoproof · cited by 0