U32.u32_inc_exact_sym: law of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 1201-1205 of bend-mathlib@0.8.1.0/u32.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/u32.bend&start_line=1201&end_line=1205

import Base
import bend-mathlib@0.8.1.0/nat.bend as MNat

# U32 increment is exact without overflow: 1 + a < 2^32 implies to_nat (inc a) = 1 + a, reversed to rewrite toward the simple side.
law u32_inc_exact_sym:
  for a: U32
  for h: MNat.lt(1n+U32.to_nat(a), Nat.pow(2n, 32n))
  {1n+U32.to_nat(a) == U32.to_nat(U32.inc(a)) : Nat}

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.inc
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=lt
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=u32_inc_exact