Theorems · Theorem · ring theory
mul_kstar_le_self
∀ {α : Type u_1} [inst : KleeneAlgebra α] {a b : α}, b * a ≤ b → b * KStar.kstar a ≤ b- Defined in
- Mathlib.Algebra.Order.Kleene
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 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.mul_kstar_le_selfproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- mul_kstar_leproof · cited by 2
- one_add_kstar_mulproof · cited by 0