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Theorem 1p1e2 8844
Description: 1 + 1 = 2. (Contributed by NM, 1-Apr-2008.)
Assertion
Ref Expression
1p1e2  |-  ( 1  +  1 )  =  2

Proof of Theorem 1p1e2
StepHypRef Expression
1 df-2 8786 . 2  |-  2  =  ( 1  +  1 )
21eqcomi 2143 1  |-  ( 1  +  1 )  =  2
Colors of variables: wff set class
Syntax hints:    = wceq 1331  (class class class)co 5774   1c1 7628    + caddc 7630   2c2 8778
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1423  ax-gen 1425  ax-ext 2121
This theorem depends on definitions:  df-bi 116  df-cleq 2132  df-2 8786
This theorem is referenced by:  2m1e1  8845  add1p1  8976  sub1m1  8977  nn0n0n1ge2  9128  3halfnz  9155  10p10e20  9283  5t4e20  9290  6t4e24  9294  7t3e21  9298  8t3e24  9304  9t3e27  9311  fldiv4p1lem1div2  10085  m1modge3gt1  10151  fac2  10484  hash2  10565  nn0o1gt2  11609  3lcm2e6woprm  11774  ex-exp  12969
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