Logs.lt_pow_succ_ilog: 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 97-99 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=97&end_line=99

import Base

# n < b^(ilog(n, b) + 1)   (Mathlib Nat.lt_pow_succ_log_self)
def lt_pow_succ_ilog(+np: Nat, +bq: Nat) -> {Nat.is_lt(1n+np, Nat.pow(2n+bq, 1n+ilog_value(np, bq))) == True{} : Bool}:
  snd_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=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
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/logs.bend&name=snd_b