Theorems · Theorem · ring theory
kstar_le_of_mul_le_left
∀ {α : Type u_1} [inst : KleeneAlgebra α] {a b : α}, 1 ≤ b → b * a ≤ b → KStar.kstar a ≤ b- Defined in
- Mathlib.Algebra.Order.Kleene
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- KleeneAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- KStar.kstarstatement and proof · cited by 49
- KleeneAlgebrastatement and proof · cited by 30
- mul_kstar_leproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- kstar_eq_oneproof · cited by 2
- kstar_eq_selfproof · cited by 1
- kstar_monoproof · cited by 0