Logs.pow_ilog_le: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/natural/logs.bend as Logs
Lines 94-95 of bend-collections-laws-math@1.0.0.0/proofs/math/natural/logs.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/logs.bend&start_line=94&end_line=95

import Base

def pow_ilog_le(+np: Nat, +bq: Nat) -> {Nat.is_le(Nat.pow(2n+bq, ilog_value(np, bq)), 1n+np) == True{} : Bool}:
  fst_b({Nat.is_le(Nat.pow(2n+bq, ilog_value(np, bq)), 1n+np) == True{} : Bool}, {Nat.is_lt(1n+np, Nat.pow(2n+bq, 1n+ilog_value(np, bq))) == True{} : Bool}, ilog_bounds(np, bq))

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_le
  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-math@1.0.0.0/proofs/math/natural/logs.bend&name=fst_b
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/logs.bend&name=ilog_bounds
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/logs.bend&name=ilog_value