Forum:Amazoness Swords Woman + Armor Breaker= ?

Hey, I was looking at my deck last night and I saw my "Amazoness Swords Woman" in all her greatness, then I saw my "Armor Breaker" behind her and began wondering... What if I equipped "Armor Breaker" to her, would "Armor Breaker's" effect still work with "Amazoness Swords Woman's" life point manipulating effect after I attack a monster with higher ATK with her.

Amazoness's Effect: The opponent takes all Battle Damage to this card's controller that he/she would have taken from a battle involving this card.

Armor Breaker's Effect: Union/ Once per turn, during your Main Phase, if you control this monster on the field, you can equip it to a face-up Warrior-Type monster on your side of the field as an Equip Spell Card, or unequip it, and Special Summon as a monster in face-up Attack Position. When the equipped monster inflicts Battle Damage to your opponent's Life Points, you can destroy 1 card on the field. (A monster can only be equipped with 1 Union Monster at a time. If the equipped monster is destroyed as a result of battle, destroy this card instead.)