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Proof step 8 from proof initsubset-addclass (previous step)

fis .keys = statfields(fs .class), validstatfield(str, fs ', st), fs ' ∈ statfields(class0), tdname∃(str, class0), initdone(class0, st), validfieldinits(str, fis, st), initundone(fs .class, st) ⊦ fs .class = `java.lang.Object' .class, validstatfield(str, fs ', addclass(fs .class, fis, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
fs = mkfs(class, ty, fieldvar), fis .keys = statfields(class), validstatfield(str, fs ', st), fs ' ∈ statfields(class0), tdname∃(str, class0), initdone(class0, st), validfieldinits(str, fis, st), initundone(class, st) ⊦ class = `java.lang.Object' .class, validstatfield(str, fs ', addclass(class, fis, st))

Rule argument

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