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Proof step 14 from proof mininv-inverts-inner (previous step)

⌜n⌝ < # nσ, ⌜min(nσ, nσ[n])⌝ < # nσ, mon<(nσ), nσ[n] ≤ nσ[min(nσ, nσ[n])], ∀ m. ⌜m⌝ < # nσ ∧ nσ[n] ≤ nσ[m] → min(nσ, nσ[n]) ≤ m, # nσ = ∞ ∨ ¬ nσ[(# nσ).n - 1] < nσ[n] ⊦ min(nσ, nσ[n]) = n, nσ = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
⌜min(nσ, nσ[n])⌝ < # nσ, ⌜n⌝ < # nσ, mon<(nσ), nσ[n] ≤ nσ[min(nσ, nσ[n])], ∀ m. ⌜m⌝ < # nσ ∧ nσ[n] ≤ nσ[m] → min(nσ, nσ[n]) ≤ m, # nσ = ∞ ∨ ¬ nσ[(# nσ).n - 1] < nσ[n] ⊦ min(nσ, nσ[n]) = n, nσ = []

Proof step 14 from proof mininv-inverts-inner (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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