law add_le_add_iff_left_sym

bend-mathlib@0.8.1.0 · nat.bend:4301

import Base

4301# Adding the same amount on the left does not change the order test: a <= b tests as k + a <= k + b, reversed to rewrite toward the simple side.
4302law add_le_add_iff_left_sym:
4303  for k: Nat
4304  for -a: Nat
4305  for -b: Nat
4306  {Nat.is_le(Nat.add(k, a), Nat.add(k, b)) == Nat.is_le(a, b) : Bool}