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Proof step 55 from proof junkref-update-equiv (previous step)

¬ (r ≠ jvmref ∧ ¬ is_valid_ref(str, r, update(r0, fis, st))), validFields(r0, fis, st), is_valid_ref(str, r0, st), junkrefs(str, r ' + r1 ' + acc, st[r -- _type] .type, st), ∀ r0, fis, st, str, r. validFields(r0, fis, st) ∧ is_valid_ref(str, r0, st) ∧ junkrefs(str, r ' + acc, st[r -- _type] .type, st) → junkref(str, r, update(r0, fis, st)) ∨ path∃(str, r, r0, st) ∨ _type ∈ fis ⊦ junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
validFields(r0, fis, st), is_valid_ref(str, r0, st), junkrefs(str, r ' + r1 ' + acc, st[r -- _type] .type, st), is_valid_ref(str, r, update(r0, fis, st)), ∀ r0, fis, st, str, r. validFields(r0, fis, st) ∧ is_valid_ref(str, r0, st) ∧ junkrefs(str, r ' + acc, st[r -- _type] .type, st) → junkref(str, r, update(r0, fis, st)) ∨ path∃(str, r, r0, st) ∨ _type ∈ fis ⊦ r = jvmref, junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ junkrefs (str, jvmref ' + refs, ty, st)])]]