Metamath Proof Explorer


Theorem mulid2d

Description: Identity law for multiplication. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis addcld.1
|- ( ph -> A e. CC )
Assertion mulid2d
|- ( ph -> ( 1 x. A ) = A )

Proof

Step Hyp Ref Expression
1 addcld.1
 |-  ( ph -> A e. CC )
2 mulid2
 |-  ( A e. CC -> ( 1 x. A ) = A )
3 1 2 syl
 |-  ( ph -> ( 1 x. A ) = A )