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Proof step 10 from proof unchanged-fits (previous step)

is_array(str, r, st), fits(st[r -- sk] .refval, sks0, st), is_referencevalue(st[r -- sk]), unchanged(str, r, st, st0), unchanged(str, st[r -- sk] .refval, st, st0), junkref(str, st[r -- sk] .refval, st), is_arraytype(st[r -- _type] .type), is_indexkey(sk), sk .index < st[r -- _length] .intval, 0 ≤ sk .index, 0 < st[r -- _length] .intval ⊦ r = jvmref, fits(st0[r -- sk] .refval, sks0, st0) ∧ (is_arraytype(st0[r -- _type] .type) → ¬ st0[r -- _length] .intval ≤ sk .index) ∧ ¬ is_classtype(st0[r -- _type] .type) ∧ is_referencevalue(st0[r -- sk]), is_referencevalue(st[r -- sk .index ']) ∧ st[r -- sk .index '] .refval ≠ jvmref ∧ (¬ st[st[r -- sk .index '] .refval -- _type] .type ≤ st[r -- _type] .type .type ∨ junkref(str, st[r -- sk .index '] .refval, st))

User applied rule insert elim lemma

And closed the goal!

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-04 antecedent: succedent: is_indexkey(sk) → (i = sk .index ↔ sk = i ') substlist: [sk, i] → [sk, i] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storekey, , test-08, ⊦ is_indexkey(i ')], [CSIMPNAMEDFORWARD : int-abs, , forward-le-01, ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPNAMEDSEQ : junkrefs, , junkref-null, ⊦ ¬ junkref(str, jvmref, st)], [CSIMPELIM : ⊦ is_indexkey(sk) → (i = sk .index ↔ sk = i ')])], [EXTRATERMS : (sk, i)]]