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Proof step 6 from proof append-cancel-l-02 (previous step)

⊦ σ0 + ⌜nf⌝ = σ0 ↔ ¬ finp(σ0)

User applied rule structural induction

And closed the goal!

Rule argument

indvar: σ0

Additional information

Used simplifier rules: neq-fin-inf-01: ⊦ ⌜x⌝ ≠ σ + ⌜nf0⌝ ;%append-assoc: ⊦ (σ + σ1) + σ2 = σ + σ1 + σ2;%append-inf: ⊦ ⌜nf⌝ + σ = ⌜nf⌝ ;%append-assoc: ⊦ (σ + σ1) + σ2 = σ + σ1 + σ2;%stream freely generated by ⌜ ⌝, ⌜ ⌝;;%inj-01: ⊦ ⌜nf⌝ = ⌜nf0⌝ ↔ nf = nf0; from specification stream-basic%test-01: ⊦ ¬ finp(⌜nf⌝ ); from specification stream-basic%test-02: ⊦ finp(⌜x⌝ ); from specification stream-basic