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Proof step 42 from proof put-switch-primval-field-index (previous step)

st[r0 -- sks] = refval(r2), st[r -- sks1] = refval(r1), fits(r0, sks + i ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st) ⊦ sks = [], (st[r1 -- mkfs(class, ty, fieldvar) ', val][r2 -- i ', val0]) = (st[r2 -- i ', val0][(st[r2 -- i ', val0][r -- sks1]) .refval -- mkfs(class, ty, fieldvar) ', val]), mkfs(class, ty, fieldvar) ' ∈ sks, is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_referencevalue(st[r0 -- (sks + i ' ')]), junkref(str, r, st), junkref(str, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val])
Proof step 41:
r2 -- i ' ≠ r1 -- mkfs(class, ty, fieldvar) ', st[r0 -- sks] = refval(r2), st[r -- sks1] = refval(r1), fits(r0, sks + i ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st) ⊦ sks = [], (st[r2 -- i ', val0][r1 -- mkfs(class, ty, fieldvar) ', val]) = (st[r2 -- i ', val0][(st[r2 -- i ', val0][r -- sks1]) .refval -- mkfs(class, ty, fieldvar) ', val]), mkfs(class, ty, fieldvar) ' ∈ sks, is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_referencevalue(st[r0 -- (sks + i ' ')]), junkref(str, r, st), junkref(str, r0, st)

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 -- i ', val, r1 -- mkfs(class, ty, fieldvar) ', 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], [CSIMPNAMEDSEQ : storekey, , disj, ⊦ fs ' ≠ i '])], [EXTRATERMS : (val0, r2 -- i ', val, r1 -- mkfs(class, ty, fieldvar) ', st)]]