page078_Example5

mcguireh

Proof of the following formula:

P(0)

(#)   Suppositions and derivations Theorem and subgoals
    We presuppose the following:  
(1)  
∀x[P(x) means (if x > 1,  then  x² > x)]
 
       
      We start working with the formula being proved
as follows:
(2)    
P(0)
          ≡      by (1) with "x := 0"
(3)    
if 0 > 1,  then  0² > 0
          ≡      by simplifying
(4)    
true
      That concludes the proof.

identification:
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