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Proof step 33 from proof validFields-putfis (previous step)

⊦ unique_al(fis) ∧ _type ≠ sk ∧ ¬ _type ∈ fis ∧ _length ≠ sk ∧ ¬ _length ∈ fis ∧ hasKeys(r, fis[sk, val] .keys, st) ↔ validFields(r, fis, st) ∧ sk ≠ _length ∧ sk ≠ _type ∧ r -- sk ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validFields(r, fis, st) ↔ unique_al(fis) ∧ ¬ _type ∈ fis ∧ ¬ _length ∈ fis ∧ hasKeys(r, fis .keys, st)
Proof step 32:
⊦ unique_al(fis) ∧ _type ≠ sk ∧ ¬ _type ∈ fis ∧ _length ≠ sk ∧ ¬ _length ∈ fis ∧ hasKeys(r, fis[sk, val] .keys, st) ↔ unique_al(fis) ∧ ¬ _type ∈ fis ∧ ¬ _length ∈ fis ∧ hasKeys(r, fis .keys, st) ∧ sk ≠ _length ∧ sk ≠ _type ∧ r -- sk ∈ st

Rule argument

[crewrite-arg: validFields, F, [st, fis, r] → [st, fis, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, fis, r)]]