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Proof step 7 from proof bytes2int-mklist-mones-01 (previous step)

# bytes = 1, b2i(bytes.first) < 0, ∀ n, bytes0. # bytes0 < 1 → b2i(bytes0.first) < 0 → bytes2int(mklist(i2b(~1), n) + bytes0) = bytes2int(bytes0) ∨ bytes0 = [] ⊦ bytes = [], bytes2int(mklist(i2b(~1), n) + bytes) = bytes2int(bytes)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ # bytes = 1 ↔ bytes = bytes.first + []
Proof step 9:
bytes = bytes.first + [], b2i(bytes.first) < 0, ∀ n, bytes0. # bytes0 < 1 → b2i(bytes0.first) < 0 → bytes2int(mklist(i2b(~1), n) + bytes0) = bytes2int(bytes0) ∨ bytes0 = [] ⊦ bytes = [], bytes2int(mklist(i2b(~1), n) + bytes) = bytes2int(bytes)

Rule argument

seq: ⊦ # bytes = 1 ↔ bytes = bytes.first + [] subst: [bytes] → [bytes] rotate: F spec: list-data inst: bytelist name: lf-01

Additional information

Used terms: bytes