Logs.ilog_small_base: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/logs.bend as Logs
Lines 111-113 of bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/logs.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/logs.bend&start_line=111&end_line=113

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

def ilog_small_base(+n: Nat, +b: Nat, +hb: {Nat.is_lt(b, 2n) == True{} : Bool}) -> {M.ilog(n, b) == Fail{M.Domain{}} : Result<&2, &2, M.MathError, Nat>}:
  %Equal.sym(Bool, Nat.is_lt(b, 2n), True{}, hb) : {M.ilog_ok(n, b, Bool.or(Nat.is_eq(n, 0n), _)) == Fail{M.Domain{}} : Result<&2, &2, M.MathError, Nat>}
  or_true(n, b)

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.or
  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_eq
  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=Result
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/logs.bend&name=or_true
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/natural.bend&name=MathError
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/natural.bend&name=ilog
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/math/natural.bend&name=ilog_ok