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Proof step 47 from proof pathex-array (previous step)

refs = r0 + refs0, r0 = st[r -- i '] .refval, is_referencevalue(st[r -- i ']), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, st[r0 -- _type] .type ≤ st[r -- _type] .type .type, validrefs(str, refs, st[r0 -- _type] .type, st) ⊦ r = refs .last, r0 = jvmref, refs = [], path∃(str, r, refs .last, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 46:
is_referencevalue(st[r -- i ']), is_array(str, r, st), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval, st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type, validrefs(str, st[r -- i '] .refval ' + refs0, st[st[r -- i '] .refval -- _type] .type, st) ⊦ st[r -- i '] .refval = jvmref, r = (st[r -- i '] .refval ' + refs0) .last, path∃(str, r, (st[r -- i '] .refval ' + refs0) .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]