ProofTab.gt.lt_add_left: def of bend-osdev-gf@0.1.1.0
Import: import bend-osdev-gf@0.1.1.0/proof_tab.bend as ProofTab
Lines 148-154 of bend-osdev-gf@0.1.1.0/proof_tab.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-gf@0.1.1.0/proof_tab.bend&start_line=148&end_line=154

import Base

# b < n, so b < m + n
def gt.lt_add_left(+m: Nat, +b: Nat, +n: Nat, +h: {Nat.is_lt(b, n) == True{} : Bool}) -> {Nat.is_lt(b, Nat.add(m, n)) == True{} : Bool}:
  match m:
    case 0n:
      h
    case 1n+k:
      gt.lt_succ_r(b, Nat.add(k, n), gt.lt_add_left(k, b, n, h))

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.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-gf@0.1.1.0/proof_tab.bend&name=gt.lt_succ_r