Theorems · Theorem · ring theory
one_le_kstar
∀ {α : Type u_1} [inst : KleeneAlgebra α] {a : α}, 1 ≤ KStar.kstar a- Defined in
- Mathlib.Algebra.Order.Kleene
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- KleeneAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- KStar.kstarstatement · cited by 49
- KleeneAlgebrastatement and proof · cited by 30
- KleeneAlgebra.one_le_kstarproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- le_kstarproof · cited by 3
- kstar_eq_oneproof · cited by 2
- kstar_mul_kstarproof · cited by 2
- kstar_eq_selfproof · cited by 1
- kstar_idemproof · cited by 0
- kstar_monoproof · cited by 0
- one_add_kstar_mulproof · cited by 0
- one_add_mul_kstarproof · cited by 0