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Theorems · Theorem · order theory

Units.compare_val

∀ {α : Type u_1} [inst : Monoid α] [inst_1 : Ord α] (a b : αˣ), compare ↑a ↑b = compare a b
Defined in
Mathlib.Algebra.Order.Monoid.Units
Cited by
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Foundations
Depth 4 from the axioms · uses no axioms
Assumes
MonoidOrd

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Monoidstatement and proof · cited by 3,887
  • Unitsstatement and proof · cited by 2,804
  • Units.valstatement · cited by 1,966

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