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Proof step 9 from proof to-unwind-end (previous step)

⌜m⌝ < # σ0 ⊦ ⌜a '⌝ + σ0 = [], σ0 to m + 1 = (σ0 to m) + ⌜σ0[m] '⌝

User applied rule structural induction

And obtained the following new goals

Proof step 10:
⌜m⌝ < # ⌜x⌝ ⊦ ⌜a '⌝ + ⌜x⌝ = [], ⌜x⌝ to m + 1 = (⌜x⌝ to m) + ⌜⌜x⌝ [m] '⌝
Proof step 13:
⌜m⌝ < # ⌜nf⌝ ⊦ ⌜a '⌝ + ⌜nf⌝ = [], ⌜nf⌝ to m + 1 = (⌜nf⌝ to m) + ⌜⌜nf⌝ [m] '⌝

Rule argument

indvar: σ0

Additional information

Used simplifier rules: stream freely generated by ⌜ ⌝, ⌜ ⌝;;