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Proof step 8 from proof lsleninv-1 (previous step)

leninv(nσ) = ⌜0⌝ , ⌜m⌝ < # nσ, n < nσ[m], stutf(nσ) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ stutf(nσ) → (leninv(nσ) = ⌜0⌝ ↔ nσ = ⌜λ n. 0⌝ )

Rule argument

spec: <toplevel> name: leninv-zero seq: ⊦ stutf(nσ) → (leninv(nσ) = ⌜0⌝ ↔ nσ = ⌜λ n. 0⌝ ) subst: [nσ] → [nσ] flags: <all paths>

Additional information

Used simplifier rules: ⊦ # ⌜nnf⌝ = ∞; (s)% ⊦ ⌜m⌝ < ∞; (s)% ⊦ ⌜nnf⌝ [n] = nnf(n); (s)% ⊦ ¬ m < 0; (s) Used terms: nσ