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Proof step 28 from proof put-switch-primval-field-field (previous step)

st[r0 -- sks] = refval(r2), fits(r1, mkfs(class, ty, fieldvar) ' ', st), fits(r0, sks + mkfs(class0, ty0, fieldvar0) ' ', st), r1 ≠ r2 ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ (st[r1 -- mkfs(class, ty, fieldvar) ', val][r2 -- mkfs(class0, ty0, fieldvar0) ', val0]) = (st[r2 -- mkfs(class0, ty0, fieldvar0) ', val0][r1 -- mkfs(class, ty, fieldvar) ', val]), sks = [], is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_reftype(ty0), junkref(str, r1, st), junkref(str, r0, st), mkfs(class, ty, fieldvar) ' ∈ sks

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 27:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, 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 -- mkfs(class0, ty0, fieldvar0) ', 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, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : refkey, , inj, ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPNAMEDSEQ : storekey, , inj-03, ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPNAMEDSEQ : fieldspec, , inj, ⊦ mkfs(class, ty, fieldvar) = mkfs (class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0])], [EXTRATERMS : (val0, r2 -- mkfs(class0, ty0, fieldvar0) ', val, r1 -- mkfs(class, ty, fieldvar) ', st)]]