Theorems · Theorem · order theory
Submonoid.coe_oneLE
∀ (M : Type u_1) [inst : Monoid M] [inst_1 : Preorder M] [inst_2 : MulLeftMono M], ↑(Submonoid.oneLE M) = Set.Ici 1
- 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
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Preorderstatement and proof · cited by 7,952
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Set.Icistatement · cited by 1,070
- MulLeftMonostatement and proof · cited by 410
- Submonoid.oneLEstatement and proof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
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