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Proof step 7 from proof tostream-inj (previous step)

# buf0 = # buf1, ∀ n. n < # buf1 → buf0[n] = buf1[n] ⊦ buf0 = buf1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ buf = buf0 ↔ # buf = # buf0 ∧ (∀ n. n < # buf → buf[n] = buf0[n])
Proof step 9:
# buf0 = # buf1, ∀ n. n < # buf1 → buf0[n] = buf1[n] ⊦ # buf0 = # buf1 ∧ (∀ n. n < # buf0 → buf0[n] = buf1[n])

Rule argument

spec: array, inst: buffer name: Extension seq: ⊦ buf = buf0 ↔ # buf = # buf0 ∧ (∀ n. n < # buf → buf[n] = buf0[n]) subst: [buf0, buf] → [buf1, buf0] flags: <all paths>

Additional information

Used terms: buf1, buf0