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Proof step 12 from proof validrefs-put-notin-02 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
okval(val, ty0), validrefs(str, r0 ', ty, st) ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, validrefs(str, r0 ', ty, st[r -- mkfs(class, ty0, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r ∈ []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ [] + refs = refs])]]