Theorems · Theorem · ring theory
one_add_kstar_mul
∀ {α : Type u_1} [inst : KleeneAlgebra α] {a : α}, 1 + KStar.kstar a * a = KStar.kstar a- Defined in
- Mathlib.Algebra.Order.Kleene
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- KleeneAlgebra
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- one_mulproof · cited by 2,841
- le_antisymmproof · cited by 2,068
- KStar.kstarstatement and proof · cited by 49
- add_le_add_rightproof · cited by 37
- KleeneAlgebrastatement and proof · cited by 30
- mul_left_monoproof · cited by 10
- one_le_kstarproof · cited by 8
- add_le_iffproof · cited by 4
- kstar_mul_le_kstarproof · cited by 3
- mul_kstar_le_selfproof · cited by 2
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