law u32_div_le_div_left

bend-mathlib@0.8.1.0 · u32.bend:955

import Base

955# U32 division is antitone in a positive divisor: 0 < s and s <= t imply a / t <= a / s.
956law u32_div_le_div_left:
957  for a: U32
958  for s: U32
959  for t: U32
960  for hs: {U32.is_lt(0, s) == True{} : Bool}
961  for h: {U32.is_le(s, t) == True{} : Bool}
962  {U32.is_le(U32.div(a, t), U32.div(a, s)) == True{} : Bool}