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Proof step 43 from proof pathex-array (previous step)

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, r ' + st[r -- i '] .refval ' + refs0 ≠ [] ∧ (r ' + st[r -- i '] .refval ' + refs0) .first = r ∧ (r ' + st[r -- i '] .refval ' + refs0) .last = (st[(r ' + st[r -- i '] .refval ' + refs0) .first -- i '] .refval ' + refs0) .last ∧ validrefs(str, r ' + st[r -- i '] .refval ' + refs0, st[(r ' + st[r -- i '] .refval ' + refs0) .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 42:
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, validrefs(str, r ' + st[r -- i '] .refval ' + refs0, st[r -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + r0 ' + refs) .last = (r0 ' + refs) .last], [CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []])]]