Did all mankind fall in that first transgression?

The covenant being made with Adam as a public person, not for himself only, but for his posterity, all mankind descending from him by ordinary generation, sinned in him, and fell with him in that first transgression.

Proofs

• The covenant being made with Adam as a public person, not for himself only, but for his posterity, all mankind descending from him by ordinary generation, (Acts 17:26)
• sinned in him, and fell with him in that first transgression. (Genesis 2:16–17; Romans 5:12–20; 1 Corinthians 15:21–22)