law lt_max_iff_sym

bend-mathlib@0.8.1.0 · nat.bend:4331

import Base

4331# The maximum is above a exactly when one argument is: a < max b c tests as a < b or a < c, reversed to rewrite toward the simple side.
4332law lt_max_iff_sym:
4333  for a: Nat
4334  for b: Nat
4335  for c: Nat
4336  {Bool.or(Nat.is_lt(a, b), Nat.is_lt(a, c)) == Nat.is_lt(a, Nat.max(b, c)) : Bool}