Misc.le_max_r: 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 27-34 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=27&end_line=34

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

def le_max_r(+x: Nat, +lo: Nat) -> {Nat.is_le(lo, Nat.max(x, lo)) == True{} : Bool}:
  match x lo:
    case 0n l0:
      N.le_refl(l0)
    case 1n+xp 0n:
      {==}
    case 1n+ +xp 1n+ +lp:
      le_max_r(xp, lp)

Uses (5):
  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=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=le_refl