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Proof step 32 from proof validFields-putfis (previous step)

⊦ 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
unique_al(fis) ⊦ _type ≠ sk ∧ _length ≠ sk ∧ hasKeys(r, fis[sk, val] .keys, st) ↔ hasKeys(r, fis .keys, st) ∧ sk ≠ _length ∧ sk ≠ _type ∧ r -- sk ∈ st, _length ∈ fis, _type ∈ fis

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]