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Proof step 19 from proof validfieldinits-def-01 (previous step)

sk .fs = mkfs(class0, ty0, fieldvar0), validfieldinits(fis0, st), validfieldinits(str, fis0, st), type∃(str, ty), okval(val, ty), sk ∈ (mkfs(class, ty, fieldvar) ' × val) ' + fis0, ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), is_referencevalue(val) → validrefval(str, val, ty, st) ⊦ junkrefs(str, fis0 .vals, st), type∃(str, ty0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ sk ∈ fis + fis0 ↔ sk ∈ fis ∨ sk ∈ fis0
Proof step 18:
sk .fs = mkfs(class0, ty0, fieldvar0), validfieldinits(fis0, st), validfieldinits(str, fis0, st), type∃(str, ty), okval(val, ty), sk ∈ (mkfs(class, ty, fieldvar) ' × val) ' ∨ sk ∈ fis0, ∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type), ∀ str, st. validfieldinits(str, fis0, st) ↔ validfieldinits(fis0, st) ∧ ¬ junkrefs(str, fis0 .vals, st) ∧ (∀ sk. sk ∈ fis0 → type∃(str, sk .fs .type)), is_referencevalue(val) → validrefval(str, val, ty, st) ⊦ junkrefs(str, fis0 .vals, st), type∃(str, ty0)

Rule argument

[speclemmaarg: ,sk ∈ fis + fis0 ↔ sk ∈ fis ∨ sk ∈ fis0 ,[fis0, fis, sk] → [fis0, (mkfs(class, ty, fieldvar) ' × val) ', sk] ,F ,assoclist ,fieldinit ,in-append ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (fis0, (mkfs(class, ty, fieldvar) ' × val) ', sk)]]