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Proof step 15 from proof pathex-array (previous step)

refs0 .first = st[r -- i '] .refval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, refs0, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ refs0 = [], r = refs0 .last, ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i ∧ is_referencevalue(st[r -- i ']) ∧ ( st[r -- i '] .refval ≠ jvmref ∧ st[st[r -- i '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, st[r -- i '] .refval, refs0 .last, st) ∨ st[r -- i '] .refval = jvmref ∧ refs0 .last = jvmref)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
refs0 .first = st[r -- i '] .refval, is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, refs0, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval ⊦ refs0 = [], r = refs0 .last, refs0 .first ≠ jvmref ∧ st[refs0 .first -- _type] .type ≤ st[r -- _type] .type .type ∧ path∃(str, refs0 .first, refs0 .last, st), refs0 .first = jvmref ∧ refs0 .last = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]