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Proof step 47 from proof put-switch-primval-field-field (previous step)

fits(r0, sks + mkfs(class0, ty0, fieldvar0) ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), st[r -- sks1] ≠ st[r0 -- sks] ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ (st[st[r -- sks1] .refval -- mkfs(class, ty, fieldvar) ', val] [(st[st[r -- sks1] .refval -- mkfs(class, ty, fieldvar) ', val][r0 -- sks]) .refval -- mkfs(class0, ty0, fieldvar0) ', val0 ] ) = (st[r0 -- (sks + mkfs(class0, ty0, fieldvar0) ' '), val0][r -- (sks1 + mkfs(class, ty, fieldvar) ' '), val]), is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_reftype(ty0), junkref(str, r, st), junkref(str, r0, st)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 6:
fits(r0, sks + mkfs(class0, ty0, fieldvar0) ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), st[r -- sks1] ≠ st[r0 -- sks] ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ is_referencevalue(st[r -- sks1]), (st[st[r -- sks1] .refval -- mkfs(class, ty, fieldvar) ', val] [(st[st[r -- sks1] .refval -- mkfs(class, ty, fieldvar) ', val][r0 -- sks]) .refval -- mkfs(class0, ty0, fieldvar0) ', val0 ] ) = (st[r0 -- (sks + mkfs(class0, ty0, fieldvar0) ' '), val0][r -- (sks1 + mkfs(class, ty, fieldvar) ' '), val]), is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_reftype(ty0), junkref(str, r, st), junkref(str, r0, st)
Proof step 46:
st[r -- sks1] = refval(r1) ∧ is_referencevalue(st[r -- sks1]), fits(r0, sks + mkfs(class0, ty0, fieldvar0) ' ', st), fits(r, sks1 + mkfs(class, ty, fieldvar) ' ', st), st[r -- sks1] ≠ st[r0 -- sks] ∨ class ≠ class0 ∨ ty ≠ ty0 ∨ fieldvar ≠ fieldvar0 ⊦ (st[r1 -- mkfs(class, ty, fieldvar) ', val][(st[r1 -- mkfs(class, ty, fieldvar) ', val][r0 -- sks]) .refval -- mkfs(class0, ty0, fieldvar0) ', val0] ) = (st[r0 -- (sks + mkfs(class0, ty0, fieldvar0) ' '), val0][r -- (sks1 + mkfs(class, ty, fieldvar) ' '), val]), is_referencevalue(val), is_referencevalue(val0), is_reftype(ty), is_reftype(ty0), junkref(str, r, st), junkref(str, r0, st)

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-13 antecedent: succedent: is_referencevalue(val) → (r = val .refval ↔ val = refval(r)) substlist: [val, r] → [st[r -- sks1], r1] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_referencevalue(val) → ( r = val .refval ↔ val = refval(r))])], [EXTRATERMS : (st[r -- sks1], r1)]]