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Proof step 25 from proof nopathex-badarrayfield (previous step)

fs ' = _length, validrefs(str, r ' + refs + r0 ', st[r -- _type] .type, st), is_arraytype(st[r0 -- _type] .type), contains(str, st[r -- _type] .type, st[r0 -- _type] .type), is_valid_ref(str, r, st) ⊦ r = r0, r0 = jvmref, r = jvmref, contains(str, st[r -- _type] .type, fs)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ contains(str, ty, ty0) ↔ (∃ tys. contains(str, ty ' + (tys + ty0)))
Proof step 24:
fs ' = _length, validrefs(str, r ' + refs + r0 ', st[r -- _type] .type, st), is_arraytype(st[r0 -- _type] .type), ∃ tys. contains(str, st[r -- _type] .type ' + (tys + st[r0 -- _type] .type)), is_valid_ref(str, r, st) ⊦ r = r0, r0 = jvmref, r = jvmref, contains(str, st[r -- _type] .type, fs)

Rule argument

[crewrite-arg: contains-type-def , F , [ty0, ty, str] → [st[r0 -- _type] .type, st[r -- _type] .type, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- _type] .type, st[r -- _type] .type, str)]]