Used simplifier rules: gen: ⊦ ;%test-02: ⊦ finp(⌜x⌝ );%test-01: ⊦ ¬ finp(⌜nf⌝ );%inj-01: ⊦ ⌜nf⌝ = ⌜nf0⌝ ↔ nf = nf0;