Growth.Growth.level_up_preserves_health: law of gralha-bendquest@0.1.0.0
Import: import gralha-bendquest@0.1.0.0/growth.bend as Growth
Lines 155-162 of gralha-bendquest@0.1.0.0/growth.bend: https://jend.leeeet.dev/read.txt?path=gralha-bendquest@0.1.0.0/growth.bend&start_line=155&end_line=162

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

law Growth.level_up_preserves_health:
  for +hp: U32
  for +level: Nat
  for +vitality: Nat
  for +bonus: U32
  for +ceiling: U32
  for +valid: {G.Bq.Nat.le(U32.to_nat(hp), U32.to_nat(Growth.maximum(level, vitality, bonus, ceiling))) == True{} : Bool}
  {G.Bq.Nat.le(U32.to_nat(hp), U32.to_nat(Growth.maximum(Succ{level}, vitality, bonus, ceiling))) == True{} : Bool}

Uses (9):
  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.to_nat
  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.le_succ_r
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/growth.bend&name=Growth.health_preserved
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/growth.bend&name=Growth.maximum
  https://jend.leeeet.dev/definition.txt?path=gralha-bendquest@0.1.0.0/health.bend&name=Health.le_refl