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Proof step 10 from proof validfieldlist-superset (previous step)

st ⊆ st0, validfieldlist(str, r, sk ' + sks0, st), ∀ str, r, st, st0. validfieldlist(str, r, sks0, st) ∧ st ⊆ st0 → validfieldlist(str, r, sks0, st0) ⊦ validfieldlist(str, r, sk ' + sks0, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validfieldlist(str, r, sk ' + sks, st) ↔ validfield(str, r, sk, st) ∧ validfieldlist(str, r, sks, st)
Proof step 9:
st ⊆ st0, validfieldlist(str, r, sk ' + sks0, st), ∀ str, r, st, st0. validfieldlist(str, r, sks0, st) ∧ st ⊆ st0 → validfieldlist(str, r, sks0, st0) ⊦ validfield(str, r, sk, st0) ∧ validfieldlist(str, r, sks0, st0)

Rule argument

[crewrite-arg: validfieldlist-rec , F , [st, sks, sk, r, str] → [st0, sks0, sk, r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, sks0, sk, r, str)]]