Metamath Proof Explorer

Theorem mulid1i

Description: Identity law for multiplication. (Contributed by NM, 14-Feb-1995)

Ref Expression
Hypothesis axi.1 
|- A e. CC
Assertion mulid1i 
|- ( A x. 1 ) = A

Proof

Step Hyp Ref Expression
1 axi.1 
 |-  A e. CC
2 mulid1 
 |-  ( A e. CC -> ( A x. 1 ) = A )
3 1 2 ax-mp 
 |-  ( A x. 1 ) = A