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Proof step 2 from proof append-from-ge-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ # σ0 < ⌜m⌝ → σ0 + σ from m = σ from (m - (# σ0).n)
Proof step 4:
⊦ σ0 + σ from m = σ from (m - (# σ0).n), ⌜m⌝ < # σ0, # σ0 < ⌜m⌝

Rule argument

spec: <toplevel> 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: <all paths>

Additional information

Used terms: m, σ, σ0