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Proof step 59 from proof put-switch-primval-index-field (previous step)

fits(r0, sks0, st), fits(r, sks, st), is_fskey(sks0 .last), is_indexkey(sks .last), st[r -- sks .butlast] ≠ st[r0 -- sks0 .butlast] ∨ sks .last ≠ sks0 .last ⊦ sks = [], sks0 = [], (st[r -- sks, val][r0 -- sks0, val0]) = (st[r0 -- sks0, val0][r -- sks, val]), is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r -- sks]), is_reftype(sks0 .last .fs .type), junkref(str, r, st), junkref(str, r0, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 58:
sks0 .last .fs = mkfs(class, ty, fieldvar), fits(r0, sks0, st), fits(r, sks, st), is_fskey(sks0 .last), is_indexkey(sks .last), st[r -- sks .butlast] ≠ st[r0 -- sks0 .butlast] ∨ sks .last ≠ sks0 .last ⊦ sks = [], sks0 = [], (st[r -- sks, val][r0 -- sks0, val0]) = (st[r0 -- sks0, val0][r -- sks, val]), is_referencevalue(val), is_referencevalue(val0), is_referencevalue(st[r -- sks]), is_reftype(ty), junkref(str, r, st), junkref(str, r0, st)

Rule argument

[x0lemmaarg: spec-name: fieldspec instance-name: lemma-name: elim antecedent: succedent: class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) substlist: [fs, class, ty, fieldvar] → [sks0 .last .fs, class, ty, fieldvar] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sks0 .last .fs, class, ty, fieldvar)]]