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Proof step 28 from proof unchNorec-validrefs (previous step)

is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, st0. validrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → validrefs(str, refs0, ty, st0), ∀ r0. r0 = r ∨ r0 ∈ refs0 → unchangedNorec(r0, st, st0), refs0 = [] ∨ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs0 .first = st[r -- fs '] .refval ∧ validrefs(str, refs0, fs .type, st) ⊦ r = jvmref, validrefs(str, r ' + refs0, ty, st0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 27:
fs = mkfs(class, ty0, fieldvar), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, st0. validrefs(str, refs0, ty, st) ∧ (∀ r. r ∈ refs0 → unchangedNorec(r, st, st0)) → validrefs(str, refs0, ty, st0), ∀ r0. r0 = r ∨ r0 ∈ refs0 → unchangedNorec(r0, st, st0), refs0 = [] ∨ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs0 .first = st[r -- fs '] .refval ∧ validrefs(str, refs0, ty0, st) ⊦ r = jvmref, validrefs(str, r ' + refs0, ty, st0)

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] → [fs, class, ty0, 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 : (fs, class, ty0, fieldvar)]]