ProofGrow.grow_ok_t: law of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/proof_grow.bend as ProofGrow
Lines 494-502 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=494&end_line=502

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/proof_tree.bend as P

law grow_ok_t:
  for +len: U32
  for +t: P.Tree<U32>
  for +d: Nat
  for +e: Nat
  for +h: {D.ok(C.BT(len, t), d) == True{} : Bool}
  for +he: {Nat.is_le(d, e) == True{} : Bool}
  for +he29: {Nat.is_le(e, 29n) == True{} : Bool}
  {D.ok(B.grow(C.BT(len, t), e), e) == True{} : Bool}

Uses (25):
  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=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  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.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/proof_tree.bend&name=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/defs.bend&name=Bytes
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=ok
  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_core.bend&name=ok_full
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_core.bend&name=ok_len
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_core.bend&name=ok_mk
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&name=gfull
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_grow.bend&name=grow_eq
  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_full
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=le_mul_l
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=le_trans
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=pow_le