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Proof step 50 from proof isarray-put-array-badindex (previous step)

i < 0, r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), r0 ∈ st ⊦ r0 = jvmref, okarray(r0, st[r0 -- _type] .type .type, st[r -- i ', val]) ↔ okarray(r0, st[r0 -- _type] .type .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 49:
st[r0 -- _type] .type = mkarraytype(ty), i < 0, r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), r0 ∈ st ⊦ r0 = jvmref, okarray(r0, ty, st[r -- i ', val]) ↔ okarray(r0, ty, 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)]]