Metamath Proof Explorer

Axiom ax-1ne0

Description: 1 and 0 are distinct. Axiom 13 of 22 for real and complex numbers, justified by theorem ax1ne0 . (Contributed by NM, 29-Jan-1995)

Ref Expression
Assertion ax-1ne0 
|- 1 =/= 0

Detailed syntax breakdown

Step Hyp Ref Expression
0 c1 
 |-  1
1 cc0 
 |-  0
2 0 1 wne 
 |-  1 =/= 0