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Proof step 38 from proof validrefs-addobj-junkref (previous step)

validrefs(str, r1 ' + r2 ' + refs, ty0, addobj(r, class, fis, st)), newref(r, st), ∀ str0, ty, r0, class0, fis0, st0. validrefs(str0, r2 ' + refs, ty, addobj(r0, class0, fis0, st0)) ∧ newref(r0, st0) ∧ (r0 = r2 ∨ r0 ∈ refs) → junkref(str0, r2, st0) ⊦ r1 = jvmref, r = jvmref, r = r1, junkref(str, r1, st), r ≠ r2 ∧ ¬ r ∈ refs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validrefs(str, r ' + refs, ty, st)
Proof step 37:
¬ (r1 ≠ jvmref ∧ (¬ is_valid_ref(str, r1, addobj(r, class, fis, st)) ∨ ¬ (addobj(r, class, fis, st)[r1 -- _type]) .type ≤ ty0)), validrefs(str, r1 ' + r2 ' + refs, ty0, addobj(r, class, fis, st)), newref(r, st), ∀ str0, ty, r0, class0, fis0, st0. validrefs(str0, r2 ' + refs, ty, addobj(r0, class0, fis0, st0)) ∧ newref(r0, st0) ∧ (r0 = r2 ∨ r0 ∈ refs) → junkref(str0, r2, st0) ⊦ r1 = jvmref, r = jvmref, r = r1, junkref(str, r1, st), r ≠ r2 ∧ ¬ r ∈ refs

Rule argument

[crewrite-arg: validrefs-is-junk , F , [st, ty, refs, r, str] → [addobj(r, class, fis, st), ty0, r2 ' + refs, r1, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r, class, fis, st), ty0, r2 ' + refs, r1, str)]]