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Proof step 39 from proof unchNorec-isarray (previous step)

unchangedNorec(r, st, st0), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), okarray(r, st[r -- _type] .type .type, st), r ∈ st ⊦ r = jvmref, okarray(r, st0[r -- _type] .type .type, st0) ∧ is_arraytype(st0[r -- _type] .type) ∧ is_typevalue(st0[r -- _type]) ∧ r -- _type ∈ st0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 38:
st[r -- _type] .type = mkarraytype(ty), unchangedNorec(r, st, st0), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), okarray(r, ty, st), r ∈ st ⊦ r = jvmref, okarray(r, st0[r -- _type] .type .type, st0) ∧ is_arraytype(st0[r -- _type] .type) ∧ is_typevalue(st0[r -- _type]) ∧ r -- _type ∈ st0

Rule argument

[x0lemmaarg: spec-name: javatype instance-name: lemma-name: elim-01 antecedent: succedent: is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) substlist: [ty, ty0] → [st[r -- _type] .type, ty] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st[r -- _type] .type, ty)]]