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Proof step 1 from proof append-from-ge-02 (conclusion)

⊦ ¬ ⌜m⌝ < # σ0 → σ0 + σ from m = σ from (m - (# σ0).n)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ # σ0 < ⌜m⌝ → σ0 + σ from m = σ from (m - (# σ0).n)
Proof step 3:
¬ # σ0 < ⌜m⌝ ⊦ ¬ ⌜m⌝ < # σ0 → σ0 + σ from m = σ from (m - (# σ0).n)

Rule argument

spec: inst: name: append-from-gr-02 seq: ⊦ # σ0 < ⌜m⌝ → σ0 + σ from m = σ from (m - (# σ0).n) subst: [m, σ, σ0] → [m, σ, σ0] flags: rewrite, current

Additional information

Used terms: m, σ, σ0