Nat.min_max_distrib_left_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4628-4633 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=4628&end_line=4633

import Base

# Minimum distributes over maximum on the left: min a (max b c) = max (min a b) (min a c), reversed to rewrite toward the simple side.
law min_max_distrib_left_sym:
  for a: Nat
  for b: Nat
  for c: Nat
  {Nat.max(Nat.min(a, b), Nat.min(a, c)) == Nat.min(a, Nat.max(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=min_max_distrib_left