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Theorems · Theorem · order theory

fn_min_mul_fn_max

∀ {α : Type u_1} {β : Type u_2} [inst : LinearOrder α] [inst_1 : CommSemigroup β] (f : α → β) (a b : α),
  f (min a b) * f (max a b) = f a * f b
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.MinMax
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderCommSemigroup
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min_mul_max · cited by 1min_mul_maxLinearOrder · cited by 8572LinearOrderCommSemigroup · cited by 62CommSemigroupfn_min_mul_fn_maxCITED BYCITES

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