Rewards.Rewards.loop_health: law of gralha-bendquest@0.1.0.0
Import: import gralha-bendquest@0.1.0.0/rewards.bend as Rewards
Lines 77-86 of gralha-bendquest@0.1.0.0/rewards.bend: https://jend.leeeet.dev/read.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&start_line=77&end_line=86

import Base
import gralha-bendquest@0.1.0.0/game.bend as G

law Rewards.loop_health:
  for +fuel: Nat
  for +eligible: Bool
  for +hero: G.Bq.Hero
  for +xp: U32
  for +levels: U32
  for +hp: U32
  for +ceiling: U32
  for +valid: {G.Bq.Nat.le(U32.to_nat(hp), U32.to_nat(Rewards.maximum(hero, ceiling))) == True{} : Bool}
  {G.Bq.Nat.le(U32.to_nat(hp), U32.to_nat(Rewards.maximum(Rewards.hero(Rewards.loop(fuel, eligible, hero, xp, levels)), ceiling))) == True{} : Bool}

Uses (18):
  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=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.from_nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.sub
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/game.bend&name=Bq.HOp
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/game.bend&name=Bq.Hero
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/game.bend&name=Bq.Nat.le
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/game.bend&name=Bq.hero_step
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&name=Rewards.cost
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&name=Rewards.eligible
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&name=Rewards.hero
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&name=Rewards.level
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&name=Rewards.level_up_health
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&name=Rewards.loop
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/rewards.bend&name=Rewards.maximum