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Proof step 55 from proof put-switch-primval-field-field (previous step)

sks .last .fs = mkfs(class, ty, fieldvar), sks0 .last = mkfs(class0, ty0, fieldvar0) ', is_fskey(sks .last), fits(r, sks, st), fits(r0, sks0, st), st[r -- sks .butlast] ≠ st[r0 -- sks0 .butlast] ∨ sks .last ≠ mkfs(class0, ty0, fieldvar0) ' ⊦ (st[r -- sks, val][r0 -- sks0, val0]) = (st[r0 -- sks0, val0][r -- sks, val]), sks0 = [], sks = [], junkref(str, r0, st), junkref(str, r, st), is_reftype(ty0), is_reftype(ty), is_referencevalue(val0), is_referencevalue(val)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 54:
sks .last = fs ', fs = mkfs(class, ty, fieldvar), sks0 .last = mkfs(class0, ty0, fieldvar0) ', is_fskey(sks .last), fits(r, sks, st), fits(r0, sks0, st), st[r -- sks .butlast] ≠ st[r0 -- sks0 .butlast] ∨ sks .last ≠ mkfs(class0, ty0, fieldvar0) ' ⊦ (st[r -- sks, val][r0 -- sks0, val0]) = (st[r0 -- sks0, val0][r -- sks, val]), sks0 = [], sks = [], junkref(str, r0, st), junkref(str, r, st), is_reftype(ty0), is_reftype(ty), is_referencevalue(val0), is_referencevalue(val)

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-03 antecedent: succedent: is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') substlist: [sk, fs] → [sks .last, fs] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sks .last, fs)]]