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Proof step 2 from proof leninv-invlast (previous step)

# nσ = ⌜m⌝ + ⌜1⌝ , leninv(nσ) = ⌜n⌝ + ⌜1⌝ , stutf(nσ) ⊦ nσ[m] = n

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ stutf(nσ) → (leninv(nσ) = ⌜n⌝ + ⌜1⌝ ↔ (# nσ = ∞ ⊃ ∃ m. nσ[m] = n ∧ (∀ m0. m < m0 → nσ[m0] = n + 1);nσ[(# nσ).n - 1] = n))
Proof step 4:
stutf(nσ), # nσ = ⌜m⌝ + ⌜1⌝ , (# nσ = ∞ ⊃ ∃ m. nσ[m] = n ∧ (∀ m0. m < m0 → nσ[m0] = n + 1);nσ[(# nσ).n - 1] = n), stutf(nσ) ⊦ nσ[m] = n

Rule argument

spec: inst: name: leninv-succ seq: ⊦ stutf(nσ) → ( leninv(nσ) = ⌜n⌝ + ⌜1⌝ ↔ (# nσ = ∞ ⊃ ∃ m. nσ[m] = n ∧ (∀ m0. m < m0 → nσ[m0] = n + 1) ;nσ[(# nσ).n - 1] = n )) subst: [n, nσ] → [n, nσ] flags: rewrite, current

Additional information

Used terms: n, nσ