Theorems · Definition · ring theory
starAddEquiv
{R : Type u} → [inst : AddMonoid R] → [StarAddMonoid R] → R ≃+ Rstar as an AddEquiv
- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- AddMonoidStarAddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- AddMonoidstatement and proof · cited by 2,864
- AddEquivstatement · cited by 1,087
- StarAddMonoidstatement and proof · cited by 296
- StarAddMonoid.star_addproof · cited by 29
- Equiv.Perm.starproof · cited by 4
Cited by31
Results whose statement or proof uses this declaration.
- star_zeroproof · cited by 58
- star_subproof · cited by 11
- starLinearEquivproof · cited by 10
- star_sumproof · cited by 9
- star_negproof · cited by 8
- starₗᵢproof · cited by 6
- star_isometryproof · cited by 6
- star_le_star_iffproof · cited by 6
- starAddEquiv_applystatement and proof · cited by 5
- starRingEquivproof · cited by 5
- starRingAutproof · cited by 2
- star_rat_smulproof · cited by 2