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Proof step 19 from proof monls-exists-maxleq (previous step)

nσ[0] < nσ[2 + m2], nσ[0] < nσ[m2 + 1], nσ[m2 + 1] < nσ[2 + m2], nσ[m2 + 1] < nσ[m], nσ[0] < nσ[m], ⌜m⌝ < # nσ, nσ[0] + 1 < nσ[m], m2 < m, nσ[0] + 1 < nσ[2 + m2], mon<(nσ) ⊦ ∃ m0. nσ[m0] < nσ[m2 + 1] ∧ nσ[m2 + 1] ≤ nσ[m0 + 1] ∧ m0 ≤ m

User applied rule exists right

And obtained the following new goals

Proof step 20:
nσ[0] + 1 < nσ[2 + m2], m2 < m, nσ[0] + 1 < nσ[m], ⌜m⌝ < # nσ, nσ[0] < nσ[m], nσ[m2 + 1] < nσ[m], nσ[m2 + 1] < nσ[2 + m2], nσ[0] < nσ[m2 + 1], nσ[0] < nσ[2 + m2], mon<(nσ) ⊦ nσ[m2] < nσ[m2 + 1] ∧ nσ[m2 + 1] ≤ nσ[m2 + 1] ∧ m2 ≤ m

Rule argument

pos: right 1 terms: m2 abort: F discard: T computed: F

Additional information

Used terms: m2