Theorems · Definition · ring theory
StarAlgebra.gi
{R : Type u_2} →
{A : Type u_3} →
[inst : CommSemiring R] →
[inst_1 : StarRing R] →
[inst_2 : Semiring A] →
[inst_3 : Algebra R A] →
[inst_4 : StarRing A] → [inst_5 : StarModule R A] → GaloisInsertion (StarAlgebra.adjoin R) SetLike.coeGalois insertion between adjoin and coe.
- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 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.
- Setstatement and proof · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- StarRingstatement and proof · cited by 1,686
- StarModulestatement and proof · cited by 570
- StarSubalgebrastatement · cited by 194
- StarAlgebra.adjoinstatement and proof · cited by 42
- GaloisInsertionstatement · cited by 35
- StarAlgebra.gcproof · cited by 4
- StarSubalgebra.copyproof · cited by 2
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