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

¬ (r1 ≠ jvmref ∧ (¬ is_valid_ref(str, r1, addarray(r, ty, vals, st)) ∨ ¬ (addarray(r, ty, vals, st)[r1 -- _type]) .type ≤ ty0)), validrefs(str, r1 ' + r2 ' + refs, ty0, addarray(r, ty, vals, st)), newref(r, st), ∀ str0, ty1, r0, ty2, vals0, st0. validrefs(str0, r2 ' + refs, ty1, addarray(r0, ty2, vals0, 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, addarray(r, ty, vals, st)), newref(r, st), is_valid_ref(str, r1, addarray(r, ty, vals, st)), st[r1 -- _type] .type ≤ ty0, ∀ str0, ty1, r0, ty2, vals0, st0. validrefs(str0, r2 ' + refs, ty1, addarray(r0, ty2, vals0, 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 → (addarray(r, ty, vals, st) [r0 -- sk ] ) = st[r0 -- sk]])]]