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Proof step 54 from proof junkref-update-equiv (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 15:
⊦ path∃(str, r, r, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st)
Proof step 53:
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 = r0, r = jvmref, junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis

Rule argument

[fma-arg: r = r0]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r = r0)]]