Misc.min_le_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 47-54 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=47&end_line=54

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

def min_le_r(+y: Nat, +hi: Nat) -> {Nat.is_le(Nat.min(y, hi), hi) == True{} : Bool}:
  match y hi:
    case 0n h0:
      N.zero_le(h0)
    case 1n+yp 0n:
      {==}
    case 1n+ +yp 1n+ +hp:
      min_le_r(yp, hp)

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.min
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=zero_le