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Proof step 816 from proof hasSharing-put-index-refval (previous step)

is_arraytype(st[r0 -- _type] .type), validref(str, r2, st[r0 -- _type] .type .type, st), disjoint(str, r ' + r2 ', st), hasSharing(r, st[r0 -- i ', refval(r2)]), r2 = jvmref → is_reftype(st[r0 -- _type] .type .type) ⊦ r = r2, r0 = jvmref, hasSharing(r, st), hasSharing(r2, st), junkref(str, r, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 815:
st[r0 -- _type] .type = mkarraytype(ty), is_arraytype(st[r0 -- _type] .type), validref(str, r2, ty, st), disjoint(str, r ' + r2 ', st), hasSharing(r, st[r0 -- i ', refval(r2)]), r2 = jvmref → is_reftype(ty) ⊦ r = r2, r0 = jvmref, hasSharing(r, st), hasSharing(r2, st), junkref(str, r, st)

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[r0 -- _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[r0 -- _type] .type, ty)]]