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Proof step 51 from proof unchanged-junkrefs (previous step)

¬ (r ≠ jvmref ∧ st[r -- _length] ≠ st1[r -- _length] ∧ is_arraytype(st[r -- _type] .type)), is_array(str, r, st), st[r -- _type] = st1[r -- _type], junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 50:
st[r -- _type] = st1[r -- _type], st[r -- _length] = st1[r -- _length], is_array(str, r, st), junkrefs(str, r ' + refs0, ty, st1), unchanged(str, r, st, st1), st1[r -- _type] .type ≤ ty, unchangedNorec(r, st, st1), is_arraytype(st1[r -- _type] .type), ∀ str, st, st1, ty. unchanged(str, refs0 .first, st, st1) ∧ ¬ junkrefs(str, refs0, ty, st) → ¬ junkrefs(str, refs0, ty, st1) ⊦ r = jvmref, junkrefs(str, r ' + refs0, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_arraytype (st[r -- _type] .type) → ¬ is_array(str, r, st)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]