Metamath Proof Explorer

Theorem div1i

Description: A number divided by 1 is itself. (Contributed by NM, 9-Jan-2002)

Ref Expression
Hypothesis divclz.1 
|- A e. CC
Assertion div1i 
|- ( A / 1 ) = A

Proof

Step Hyp Ref Expression
1 divclz.1 
 |-  A e. CC
2 div1 
 |-  ( A e. CC -> ( A / 1 ) = A )
3 1 2 ax-mp 
 |-  ( A / 1 ) = A