Mary: Co-Redemptrix

Major Premise: All grace comes from God. (dogma)
Minor Premise: God enters the world through Mary's womb. (dogma, Theotokos)
Conclusion: All grace enters the world through Mary's womb (dogma, Theotokos)

Major Premise: The work of God is the redemption of the world.
Minor Premise: We are God's co-workers (1 Cor 3:9)
Conclusion: Our work is the redemption of the world.

Major Premise: Mary pre-eminently cooperated with God's grace (see first conclusion)
Minor premise: All human beings are co-redeemers with God (1 Cor 3:9)
Conclusion: Mary is pre-eminently worthy of the title "Co-Redemptrix."

Yeah, it's pretty hard to break the logic.