U32.internal_shl_out32: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/u32.bend as U32
Lines 809-811 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=809&end_line=811

import Base

def internal_shl_out32(-md: Nat, em: {Nat.pow(2n, 32n) == md : Nat}, x: Bool, rw: Word(32n)) -> {internal_shl_val(32n, md, Word.shl.out(32n, x, rw)) == Nat.add(internal_bv(x), Nat.double(Word.to_nat(32n, rw))) : Nat}:
  %em : {internal_shl_val(32n, _, Word.shl.out(32n, x, rw)) == Nat.add(internal_bv(x), Nat.double(Word.to_nat(32n, rw))) : Nat}
  internal_shl_out(32n, x, rw)

Uses (11):
  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.double
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.shl.out
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.to_nat
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=internal_bv
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=internal_shl_out
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/u32.bend&name=internal_shl_val