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Proof step 60 from proof validrefs-subset (previous step)

st[r0 -- i '] = refval(r), st0[r0 -- i '] = refval(r), st[r0 -- _type] = st0[r0 -- _type], st[r0 -- _length] = st0[r0 -- _length], r0 -- i ' ∈ st0, r0 -- _length ∈ st, r0 -- _type ∈ st, validrefs(str, r ' + refs, st0[r0 -- _type] .type .type, st0), i < st0[r0 -- _length] .intval, is_valid_ref(str, r0, st0), is_array(str, r0, st), st0[r0 -- _type] .type ≤ ty, 0 < st0[r0 -- _length] .intval, 0 ≤ i, r0 -- _type ∈ st0, r0 ∈ st, r0 ∈ st0, r0 -- _length ∈ st0, r0 -- i ' ∈ st, st[r -- _type] .type ≤ st0[r0 -- _type] .type .type, ∀ str0, ty0, st1, st2. validrefs(str0, r ' + refs, ty0, st1) ∧ st2 ⊆ st1 ∧ ¬ junkref(str0, r, st2) → validrefs(str0, r ' + refs, ty0, st2), ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r0 = jvmref, r = jvmref, validrefs(str, r ' + refs, st0[r0 -- _type] .type .type, st), junkref(str, r, st)

User applied rule all left

And obtained the following new goals

Rule argument

[EXRARG : pos: left 21, [extquanttermlist: (str, st0[r0 -- _type] .type .type, st0, st) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, st0[r0 -- _type] .type .type, st0, st)]]