Theorems · Theorem · order theory
Submonoid.mem_oneLE
∀ {M : Type u_1} [inst : Monoid M] [inst_1 : Preorder M] [inst_2 : MulLeftMono M] {a : M}, a ∈ Submonoid.oneLE M ↔ 1 ≤ a- Defined in
- Mathlib.Algebra.Order.Monoid.Submonoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- MonoidPreorderMulLeftMono
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- MulLeftMonostatement and proof · cited by 410
- Submonoid.oneLEstatement · cited by 4
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