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Theorems · Theorem · order theory

Units.max_val

∀ {α : Type u_1} [inst : Monoid α] [inst_1 : LinearOrder α] (a b : αˣ), ↑(max a b) = max ↑a ↑b
Defined in
Mathlib.Algebra.Order.Monoid.Units
Cited by
0 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
MonoidLinearOrder

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Cites5

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

  • LinearOrderstatement and proof · cited by 8,572
  • Monoidstatement and proof · cited by 3,887
  • Unitsstatement and proof · cited by 2,804
  • Units.valstatement and proof · cited by 1,966
  • max_defproof · cited by 7

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