Value.sh4: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/value.bend as Value
Lines 332-335 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/value.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/value.bend&start_line=332&end_line=335

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as C
import bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/w64mul.bend as WM
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend as A

def sh4(+a: Nat, +b: Nat, +c: Nat, +d: Nat) -> {Nat.add(Nat.add(Nat.add(a, C.shift(8n, b)), C.shift(8n, c)), C.shift(8n, d)) == Nat.add(a, C.shift(8n, Nat.add(Nat.add(b, c), d))) : Nat}:
  A.tr(Nat.add(Nat.add(Nat.add(a, C.shift(8n, b)), C.shift(8n, c)), C.shift(8n, d)), Nat.add(Nat.add(a, C.shift(8n, Nat.add(b, c))), C.shift(8n, d)), Nat.add(a, C.shift(8n, Nat.add(Nat.add(b, c), d))),
    WM.cong_l(Nat.add(Nat.add(a, C.shift(8n, b)), C.shift(8n, c)), Nat.add(a, C.shift(8n, Nat.add(b, c))), C.shift(8n, d), sh3(a, b, c)),
    sh3(a, Nat.add(b, c), d))

Uses (6):
  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-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend&name=tr
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/value.bend&name=sh3
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/typed/w64mul.bend&name=cong_l
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=shift