Misc.clamp_ge: 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 86-88 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=86&end_line=88

import Base

# lo <= clamp and clamp <= hi
def clamp_ge(+x: Nat, +lo: Nat, +hi: Nat, +h: {Nat.is_le(lo, hi) == True{} : Bool}) -> {Nat.is_le(lo, Nat.min(Nat.max(x, lo), hi)) == True{} : Bool}:
  le_min(lo, Nat.max(x, lo), hi, le_max_r(x, lo), h)

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_le
  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=bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend&name=le_max_r
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/natural/misc.bend&name=le_min