Theorem 1p1e2 9260

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 9202	. 2 ⊢ 2 = (1 + 1)
2	1	eqcomi 2235	1 ⊢ (1 + 1) = 2

Syntax hints:   = wceq 1397  (class class class)co 6018  1c1 8033   + caddc 8035  2c2 9194

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 1495  ax-gen 1497  ax-ext 2213

This theorem depends on definitions:  df-bi 117  df-cleq 2224  df-2 9202

This theorem is referenced by:  2m1e1  9261  add1p1  9394  sub1m1  9395  nn0n0n1ge2  9550  3halfnz  9577  10p10e20  9705  5t4e20  9712  6t4e24  9716  7t3e21  9720  8t3e24  9726  9t3e27  9733  fz0to3un2pr  10358  fldiv4p1lem1div2  10565  m1modge3gt1  10633  fac2  10993  hash2  11076  s2leng  11370  nn0o1gt2  12467  3lcm2e6woprm  12659  2exp8  13009  2exp11  13010  2exp16  13011  logbleb  15687  logblt  15688  1sgm2ppw  15721  1loopgrvd2fi  16158  2wlklem  16229  clwwlkext2edg  16275  ex-exp  16326