Metamath Proof Explorer

Theorem 1div1e1

Description: 1 divided by 1 is 1. (Contributed by David A. Wheeler, 7-Dec-2018)

Ref Expression
Assertion 1div1e1 
|- ( 1 / 1 ) = 1

Proof

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