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Proof step 37 from proof validrefs-addobj-junkref (previous step)

¬ (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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
validrefs(str, r1 ' + r2 ' + refs, ty0, addobj(r, class, fis, st)), newref(r, st), is_valid_ref(str, r1, st), st[r1 -- _type] .type ≤ ty0, ∀ 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

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (addobj(r, class1, fis, st) [r0 -- sk ] ) = st[r0 -- sk]], [CSIMPSEQ : ⊦ r ≠ r0 → ( is_valid_ref (str, r, addobj(r0, class, fis, st)) ↔ is_valid_ref(str, r, st))])]]