Nat.max_lt_iff_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 4708-4713 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=4708&end_line=4713

import Base

# The maximum is below c exactly when both arguments are: max a b < c tests as a < c and b < c, reversed to rewrite toward the simple side.
law max_lt_iff_sym:
  for a: Nat
  for b: Nat
  for c: Nat
  {Bool.and(Nat.is_lt(a, c), Nat.is_lt(b, c)) == Nat.is_lt(Nat.max(a, b), c) : Bool}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  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.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.max
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=max_lt_iff