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Proof step 7 from proof junkrefs-put-nopathex (previous step)

¬ (is_obj(str, r1, st[r0 -- sk, val]) ∧ (st[r0 -- sk, val][r1 -- _type]) .type ≤ ty), is_obj(str, r1, st), junkrefs(str, r1 ' + acc, ty, st[r0 -- sk, val]), st[r1 -- _type] .type ≤ ty, ∀ str0, r2, st0, ty0, sk0, val0. ¬ path∃(str0, acc .first, r2, st0) ∧ ¬ junkrefs(str0, acc, ty0, st0) ∧ sk0 ≠ _type ∧ acc ≠ [] → ¬ junkrefs(str0, acc, ty0, st0[r2 -- sk0, val0]) ⊦ sk = _type, r1 = jvmref, junkrefs(str, r1 ' + acc, ty, st), path∃(str, r1, r0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
is_obj(str, r1, st), junkrefs(str, r1 ' + acc, ty, st[r0 -- sk, val]), st[r1 -- _type] .type ≤ ty, ∀ str0, r2, st0, ty0, sk0, val0. ¬ path∃(str0, acc .first, r2, st0) ∧ ¬ junkrefs(str0, acc, ty0, st0) ∧ sk0 ≠ _type ∧ acc ≠ [] → ¬ junkrefs(str0, acc, ty0, st0[r2 -- sk0, val0]) ⊦ sk = _type, r1 = jvmref, junkrefs(str, r1 ' + acc, ty, st), path∃(str, r1, r0, st), is_obj(str, r1, st[r0 -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]