Misc.clamp_done: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend as Misc
Lines 78-80 of bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend&start_line=78&end_line=80

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-math@1.0.0.0/src/math/natural.bend as M

def clamp_done(+x: Nat, +lo: Nat, +hi: Nat, +h: {Nat.is_le(lo, hi) == True{} : Bool}) -> {M.clamp(x, lo, hi) == Done{Nat.min(Nat.max(x, lo), hi)} : Result<&2, &2, M.MathError, Nat>}:
  %Equal.sym(Bool, Nat.is_lt(hi, lo), False{}, N.le_not_lt(hi, lo, h)) : {M.clamp_ok(x, lo, hi, _) == Done{Nat.min(Nat.max(x, lo), hi)} : Result<&2, &2, M.MathError, Nat>}
  {==}

Uses (12):
  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.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.max
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.min
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Result
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=le_not_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/natural.bend&name=MathError
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/natural.bend&name=clamp
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/natural.bend&name=clamp_ok