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Proof step 1 from proof leninv-inf-strong (conclusion)

⊦ stutf(nσ) → (¬ leninv(nσ) ≠ ∞ ↔ # nσ = ∞ ∧ (∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0]) ∧ (∀ m. ∃ m0. m < nσ[m0]))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ stutf(nσ) → (leninv(nσ) = ∞ ↔ # nσ = ∞ ∧ (∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0]))
Proof step 3:
stutf(nσ) ⊦ stutf(nσ) → (¬ ¬(# nσ = ∞ ∧ (∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0])) ↔ # nσ = ∞ ∧ (∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0]) ∧ (∀ m. ∃ m0. m < nσ[m0]))

Rule argument

spec: inst: name: leninv-inf seq: ⊦ stutf(nσ) → ( leninv(nσ) = ∞ ↔ # nσ = ∞ ∧ (∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0])) subst: [nσ] → [nσ] flags: rewrite, current

Additional information

Used terms: nσ