Theorem 1p1e2 9109

Description: 1 + 1 = 2. (Contributed by NM, 1-Apr-2008.)

Assertion

Ref	Expression
1p1e2	|- ( 1 + 1 ) = 2

Proof of Theorem 1p1e2

Step	Hyp	Ref	Expression
1		df-2 9051	. 2 |- 2 = ( 1 + 1 )
2	1	eqcomi 2200	1 |- ( 1 + 1 ) = 2

Syntax hints:   = wceq 1364  (class class class)co 5923   1c1 7882   + caddc 7884   2c2 9043

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1461  ax-gen 1463  ax-ext 2178

This theorem depends on definitions:  df-bi 117  df-cleq 2189  df-2 9051

This theorem is referenced by:  2m1e1  9110  add1p1  9243  sub1m1  9244  nn0n0n1ge2  9398  3halfnz  9425  10p10e20  9553  5t4e20  9560  6t4e24  9564  7t3e21  9568  8t3e24  9574  9t3e27  9581  fz0to3un2pr  10200  fldiv4p1lem1div2  10397  m1modge3gt1  10465  fac2  10825  hash2  10906  nn0o1gt2  12072  3lcm2e6woprm  12264  2exp8  12614  2exp11  12615  2exp16  12616  logbleb  15207  logblt  15208  1sgm2ppw  15241  ex-exp  15383