def len_app
bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/argon2/memory.bend:287
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/argon2/memory.bend as Memory
import Base
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as SC
import bend-collections-laws-crypto@1.0.0.0/src/crypto/argon2/sub.bend as SB
287def len_app(+a: List<&2, U32>, +b: List<&2, U32>) -> {SC.length(U32, SB.app(a, b)) == Nat.add(SC.length(U32, a), SC.length(U32, b)) : Nat}:
288 match a:
289 case Nil{}:
290 {==}
291 case +x <> +r:
292 Equal.cong(Nat, Nat, z => 1n+z, SC.length(U32, SB.app(r, b)), Nat.add(SC.length(U32, r), SC.length(U32, b)), len_app(r, b))