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Proof step 8 from proof junkref-update-equiv (previous step)

validFields(r0, fis, st), is_valid_ref(str, r0, st), is_valid_ref(str, r, update(r0, fis, st)) ⊦ r = jvmref, junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis, is_valid_ref(str, r, st)

User applied rule cut formula

And obtained the following new goals

Proof step 6:
⊦ ¬ is_valid_ref(str, r1, st) ∧ r1 ≠ jvmref → ¬ path∃(str, r, r1, st)
Proof step 7:
validFields(r0, fis, st), is_valid_ref(str, r0, st), is_valid_ref(str, r, update(r0, fis, st)) ⊦ r = r0, r = jvmref, junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis, is_valid_ref(str, r, st)

Rule argument

[fma-arg: r = r0]

Additional information

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