ProofGrow.grow_eq: law of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/proof_grow.bend as ProofGrow
Lines 269-275 of lawful-bytes@0.1.1.0/proof_grow.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&start_line=269&end_line=275

import Base
import lawful-bytes@0.1.1.0/defs.bend as D
import lawful-bytes@0.1.1.0/bytes.bend as B
import lawful-bytes@0.1.1.0/proof_core.bend as C
import lawful-arrays@0.1.0.0/defs.bend as A
import lawful-arrays@0.1.0.0/proof_tree.bend as P

law grow_eq:
  for +len: U32
  for +t: P.Tree<U32>
  for +d: Nat
  for +e: Nat
  for +hf: {A.full(U32, P.fromT(U32, t), d) == True{} : Bool}
  {B.grow(C.BT(len, t), e) == C.BT(len, gtree(U32.to_nat(U32.shln(1, d)), t, tnew(e, 0), 0)) : D.Bytes}

Uses (24):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.size
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.shln
  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=full
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=Tree
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=fromT
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_tree.bend&name=size_tree
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/bytes.bend&name=grow
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/bytes.bend&name=grow.fin
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/bytes.bend&name=grow.go
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=Bytes
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_core.bend&name=BT
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&name=ggo
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&name=gtree
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&name=tnew
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&name=tnew_eq