Nat.add_le_add_left: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/nat.bend as Nat
Lines 1486-1492 of bend-mathlib@0.8.1.0/nat.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/nat.bend&start_line=1486&end_line=1492

import Base

# Adding on the left preserves the order: a <= b implies k + a <= k + b.
law add_le_add_left:
  for -a: Nat
  for -b: Nat
  for k: Nat
  for h: le(a, b)
  le(Nat.add(k, a), Nat.add(k, b))

Uses (3):
  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=bend-mathlib@0.8.1.0/nat.bend&name=le