Roots.lt_succ_iroot: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend as Roots
Lines 257-258 of bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend&start_line=257&end_line=258

import Base
import bend-collections-laws-crypto@1.0.0.0/src/math/natural.bend as M

def lt_succ_iroot(+n: Nat, +kp: Nat) -> {Nat.is_lt(n, Nat.pow(1n+M.iroot_k(n, 1n+kp), 1n+kp)) == True{} : Bool}:
  ok_lt(n, 1n+kp, M.iroot_k(n, 1n+kp), iroot_k_ok(n, kp))

Uses (7):
  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=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend&name=iroot_k_ok
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/roots.bend&name=ok_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/natural.bend&name=iroot_k