ProofIndex.slot_small_t: law of lawful-arrays@0.1.0.0
Import: import lawful-arrays@0.1.0.0/proof_index.bend as ProofIndex
Lines 421-425 of lawful-arrays@0.1.0.0/proof_index.bend: https://jend.leeeet.dev/read.txt?path=lawful-arrays@0.1.0.0/proof_index.bend&start_line=421&end_line=425

import Base
import lawful-arrays@0.1.0.0/defs.bend as D

law slot_small_t:
  for +i: U32
  for +d: Nat
  for +h: {Nat.is_lt(U32.to_nat(i), Nat.pow(2n, d)) == True{} : Bool}
  {D.slot(i, d) == U32.to_nat(i) : Nat}

Uses (8):
  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=Nat.pow
  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=lawful-arrays@0.1.0.0/defs.bend&name=slot
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_words.bend&name=n_mod_small