Sort.internal_least_trans: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/sort.bend as Sort
Lines 117-122 of bend-mathlib@0.8.1.0/sort.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/sort.bend&start_line=117&end_line=122

import Base

def internal_least_trans(~A: Data, ~le: A -> A -> Bool, ~le_trans: @x: A -> @y: A -> @z: A -> {le(x, y) == True{} : Bool} -> {le(y, z) == True{} : Bool} -> {le(x, z) == True{} : Bool}, +a: A, +b: A, +xs: List<&2, A>, +hab: {le(a, b) == True{} : Bool}, +hb: internal_least(~A, ~le, b, xs)) -> internal_least(~A, ~le, a, xs):
  match xs:
    case Nil{}:
      {==}
    case +h <> +t:
      internal_least_intro(~A, ~le, a, h, t, le_trans(a, b, h, hab, internal_least_cons_le(~A, ~le, b, h, t, hb)), internal_least_trans(~A, ~le, ~le_trans, a, b, t, hab, internal_least_cons_tail(~A, ~le, b, h, t, hb)))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/sort.bend&name=internal_least
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/sort.bend&name=internal_least_cons_le
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/sort.bend&name=internal_least_cons_tail
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/sort.bend&name=internal_least_intro