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Proof step 9 from proof bytevalues-eq (previous step)

okarray(r, byte_type, st), i + j ≤ st[r -- _length] .intval, okarray(r0, byte_type, st), i0 + j0 ≤ st[r0 -- _length] .intval, r ∈ st, 0 ≤ i, r0 ∈ st, 0 ≤ i0 ⊦ bytevalues(getarray(r, i, j, st)) = bytevalues(getarray(r0, i0, j0, st)) ↔ getarray(r, i, j, st) = getarray(r0, i0, j0, st), r = jvmref, r0 = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ (∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val)) → (bytevalues(vals) = bytevalues(vals0) ↔ vals = vals0)
Proof step 8:
¬ (∀ val. val ∈ getarray(r, i, j, st) ∨ val ∈ getarray(r0, i0, j0, st) → is_bytevalue(val)), okarray(r, byte_type, st), i + j ≤ st[r -- _length] .intval, okarray(r0, byte_type, st), i0 + j0 ≤ st[r0 -- _length] .intval, r ∈ st, 0 ≤ i, r0 ∈ st, 0 ≤ i0 ⊦ bytevalues(getarray(r, i, j, st)) = bytevalues(getarray(r0, i0, j0, st)) ↔ getarray(r, i, j, st) = getarray(r0, i0, j0, st), r = jvmref, r0 = jvmref

Rule argument

[speclemmaarg: , (∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val)) → (bytevalues(vals) = bytevalues(vals0) ↔ vals = vals0) ,[vals0, vals] → [getarray(r0, i0, j0, st), getarray(r, i, j, st)] ,F ,valuesfuns , ,bytevalues-eq ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (getarray(r0, i0, j0, st), getarray(r, i, j, st))]]