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Proof step 63 from proof put-switch-primval-index-index (previous step)

st[r0 -- sks] = refval(r2), st[r -- sks1] = refval(r1), is_indexkey(sk), is_indexkey(sk0), fits(r, sks1 + sk ', st), fits(r0, sks + sk0 ', st), fits(r0, sks, st), r1 ≠ r2 ∨ sk ≠ sk0 ⊦ sks = [], (st[r1 -- sk, val][r2 -- sk0, val0]) = (st[r2 -- sk0, val0][(st[r2 -- sk0, val0][r -- sks1]) .refval -- sk, val]), is_referencevalue(st[r1 -- sk]), junkref(str, r1, st), junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r0 -- (sks + sk0 ')]), is_referencevalue(st[r -- (sks1 + sk ')]), is_referencevalue(val0), is_referencevalue(val)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 44:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val])
Proof step 62:
r2 -- sk0 ≠ r1 -- sk, st[r0 -- sks] = refval(r2), st[r -- sks1] = refval(r1), is_indexkey(sk), is_indexkey(sk0), fits(r, sks1 + sk ', st), fits(r0, sks + sk0 ', st), fits(r0, sks, st), r1 ≠ r2 ∨ sk ≠ sk0 ⊦ sks = [], (st[r2 -- sk0, val0][r1 -- sk, val]) = (st[r2 -- sk0, val0][(st[r2 -- sk0, val0][r -- sks1]) .refval -- sk, val]), is_referencevalue(st[r1 -- sk]), junkref(str, r1, st), junkref(str, r0, st), junkref(str, r, st), is_referencevalue(st[r0 -- (sks + sk0 ')]), is_referencevalue(st[r -- (sks1 + sk ')]), is_referencevalue(val0), is_referencevalue(val)

Rule argument

[x0lemmaarg: spec-name: store instance-name: javastore lemma-name: rew antecedent: succedent: rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val]) substlist: [val0, rk, val, rk0, st] → [val0, r2 -- sk0, val, r1 -- sk, st] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : refkey, , inj, ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRATERMS : (val0, r2 -- sk0, val, r1 -- sk, st)]]