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Proof step 16 from proof validrefs-applast-array-null (previous step)

0 < st[r -- _length] .intval, 0 ≤ i, is_reftype(st[r -- _type] .type .type), i < st[r -- _length] .intval, r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st), type∃(str, st[r -- _type] .type), validrefs(str, refs + r ', ty, st) ⊦ st[r -- _type] .type .jtelemtype = void_type, st[r -- _type] .type .jtelemtype = abstract_type, is_referencevalue(st[r -- i ']), validrefs(str, refs + r ' + jvmref ', ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
0 < st[r -- _length] .intval, 0 ≤ i, is_reftype(st[r -- _type] .type .type), i < st[r -- _length] .intval, r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), okarray(r, st[r -- _type] .type .type, st), type∃(str, st[r -- _type] .type), validrefs(str, refs + r ', ty, st), r ∈ st ⊦ r = jvmref, st[r -- _type] .type .type .jtelemtype = void_type, st[r -- _type] .type .type .jtelemtype = abstract_type, is_referencevalue(st[r -- i ']), validrefs(str, refs + r ' + jvmref ', ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPFORWARD : ⊦ okarray(r, ty, st) → r ≠ jvmref ∧ r ∈ st], [CSIMPSEQ : ⊦ is_arraytype(ty) → ty .jtelemtype = ty .type .jtelemtype])]]