Nat.le_of_is_lt: law of bend-lawful-stdlib@0.1.0.0
Import: import bend-lawful-stdlib@0.1.0.0/src/nat.bend as Nat
Lines 132-138 of bend-lawful-stdlib@0.1.0.0/src/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-lawful-stdlib@0.1.0.0/src/nat.bend&start_line=132&end_line=138

import Base

# The two outcomes of Nat.is_lt as LE proofs. Base's min, max and clamp
# branch on is_lt.
law le_of_is_lt:
  for a: Nat
  for b: Nat
  for e: {Nat.is_lt(a, b) == True{} : Bool}
  LE(a, b)

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=Unit
  https://jend.leeeet.dev/definition.txt?path=bend-lawful-stdlib@0.1.0.0/src/nat.bend&name=IsFalse
  https://jend.leeeet.dev/definition.txt?path=bend-lawful-stdlib@0.1.0.0/src/nat.bend&name=LE