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Proof step 7 from proof validfieldlist-superset (previous step)

validfieldlist(str, r, sks0, st), validfield(str, r, sk, st), st ⊆ st0, ∀ 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)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ validfield(str, r, sk, st) ∧ st ⊆ st0 → validfield(str, r, sk, st0)
Proof step 6:
validfield(str, r, sk, st) ∧ st ⊆ st0, validfieldlist(str, r, sks0, st), validfield(str, r, sk, st), st ⊆ st0, ∀ str, r, st, st0. validfieldlist(str, r, sks0, st) ∧ st ⊆ st0 → validfieldlist(str, r, sks0, st0) ⊦ true ∧ validfieldlist(str, r, sks0, st0)

Rule argument

[crewrite-arg: validfield-superset , F , [str, r, sk, st, st0] → [str, r, sk, st, st0] ]

Additional information

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