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Proof step 45 from proof validrefs-not-contains (previous step)

is_array(str, r, st) ∧ st[r -- _type] .type ≤ ty, is_array(str, r, st), r0 ' = [] ∨ (∃ i. 0 ≤ i ∧ i < st[r -- _length] .intval ∧ is_referencevalue(st[r -- i ']) ∧ r0 ' .first = st[r -- i '] .refval ∧ validrefs(str, r0 ', st[r -- _type] .type .type, st)), st[r -- _type] .type ≤ ty ⊦ r0 = jvmref, r = r0, r = jvmref, contains(str, st[r -- _type] .type, st[r0 -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
0 < st[r -- _length] .intval, 0 ≤ i, validrefs(str, st[r -- i '] .refval ', st[r -- _type] .type .type, st), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, is_array(str, r, st) ⊦ r = jvmref, r = st[r -- i '] .refval, st[r -- i '] .refval = jvmref, contains(str, st[r -- _type] .type, st[st[r -- i '] .refval -- _type] .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ r ' .first = r], [CSIMPSEQ : ⊦ r ' ≠ []])]]