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Proof step 37 from proof unchNorec-isarray (previous step)

st[r -- _type] .type = mkarraytype(ty), r ∈ st, okarray(r, ty, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, unchangedNorec(r, st, st0) ⊦ 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 36:
st[r -- _type] = typeval(ty0), ty0 = mkarraytype(ty), r ∈ st, okarray(r, ty, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, unchangedNorec(r, st, st0) ⊦ 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: javavalue instance-name: lemma-name: elim-10 antecedent: succedent: is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) substlist: [val, ty] → [st[r -- _type], ty0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

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