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Proof step 4 from proof append-from-ge-02 (previous step)
| ⌜m⌝ = # σ0 ⊦ σ0 + σ from m = σ |
User applied rule constructor cut
And closed the goal!
Rule argument
var: σ0Additional information
Used simplifier rules:
size-fin: ⊦ # ⌜x⌝ = ⌜# x⌝ ;%append-from-size-01: ⊦ ⌜x⌝ + σ from # x = σ;%append-assoc: ⊦ (σ + σ1) + σ2 = σ + σ1 + σ2;%size-inf: ⊦ # ⌜nf⌝ = ∞;%stream freely generated by ⌜ ⌝, ⌜ ⌝;;%disj: ⊦ ⌜m⌝ ≠ ∞; from specification nat-inf-basic%inj: ⊦ ⌜m⌝ = ⌜m0⌝ ↔ m = m0; from specification nat-inf-basic