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Proof step 21 from proof validstatfield-union (previous step)

validstatfield(str, sk, st0), is_fskey(sk) ⊦ jvmref ∈ st, (initdone(sk .fs .class, st0) → validfield(str, jvmref, sk, st ∪ st0)) ∧ tdname∃(str, sk .fs .class) ∧ sk ∈ statfields(sk .fs .class)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
sk .fs = mkfs(class, ty, fieldvar), validstatfield(str, sk, st0), is_fskey(sk) ⊦ jvmref ∈ st, (initdone(class, st0) → validfield(str, jvmref, sk, st ∪ st0)) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class)

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] → [sk .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 : (sk .fs, class, ty, fieldvar)]]