law add_le_add_iff_left

bend-mathlib@0.8.1.0 · nat.bend:1514

import Base

1514# Adding the same amount on the left does not change the order test: a <= b tests as k + a <= k + b.
1515law add_le_add_iff_left:
1516  for k: Nat
1517  for -a: Nat
1518  for -b: Nat
1519  {Nat.is_le(a, b) == Nat.is_le(Nat.add(k, a), Nat.add(k, b)) : Bool}