Metamath Proof Explorer

Theorem div1d

Description: A number divided by 1 is itself. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis div1d.1 
|- ( ph -> A e. CC )
Assertion div1d 
|- ( ph -> ( A / 1 ) = A )

Proof

Step Hyp Ref Expression
1 div1d.1 
 |-  ( ph -> A e. CC )
2 div1 
 |-  ( A e. CC -> ( A / 1 ) = A )
3 1 2 syl 
 |-  ( ph -> ( A / 1 ) = A )