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Proof step 60 from proof validrefs-put-notin-02 (previous step)

validrefs(str, refs + r0 ', ty, st), okval(val, fs .type) ⊦ fs ' = _length, fs ' = _type, validrefs(str, refs + r0 ', ty, st[r -- fs ', val]), r ∈ refs

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 59:
fs = mkfs(class, ty0, fieldvar), validrefs(str, refs + r0 ', ty, st), okval(val, ty0) ⊦ fs ' = _length, fs ' = _type, validrefs(str, refs + r0 ', ty, st[r -- fs ', val]), r ∈ refs

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty0, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty0, fieldvar)]]