deduce deduce /dɪˈduːs/

verb

1. () (logic) reason by deduction; establish by deduction  ( deduct , infer , deduce , derive )
   (logic) reason by deduction; establish by deduction
     Based on the evidence presented, the detective deduced that the suspect was guilty.
   Based on the evidence presented, the detective deduced that the suspect was guilty.
   
2. () Conclude by reasoning; in logic  ( infer , deduce )
   conclude by reasoning; in logic