Nat.max_min_distrib_left_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4638-4643 of bend-mathlib@0.8.1.0/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/nat.bend&start_line=4638&end_line=4643

import Base

# Maximum distributes over minimum on the left: max a (min b c) = min (max a b) (max a c), reversed to rewrite toward the simple side.
law max_min_distrib_left_sym:
  for a: Nat
  for b: Nat
  for c: Nat
  {Nat.min(Nat.max(a, b), Nat.max(a, c)) == Nat.max(a, Nat.min(b, c)) : Nat}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.max
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.min
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=max_min_distrib_left