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Theorem 1e0p1 9191
Description: The successor of zero. (Contributed by Mario Carneiro, 18-Feb-2014.)
Assertion
Ref Expression
1e0p1 1 = (0 + 1)

Proof of Theorem 1e0p1
StepHypRef Expression
1 0p1e1 8802 . 2 (0 + 1) = 1
21eqcomi 2121 1 1 = (0 + 1)
Colors of variables: wff set class
Syntax hints:   = wceq 1316  (class class class)co 5742  0cc0 7588  1c1 7589   + caddc 7591
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 1408  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-4 1472  ax-17 1491  ax-ial 1499  ax-ext 2099  ax-1cn 7681  ax-icn 7683  ax-addcl 7684  ax-mulcl 7686  ax-addcom 7688  ax-i2m1 7693  ax-0id 7696
This theorem depends on definitions:  df-bi 116  df-cleq 2110  df-clel 2113
This theorem is referenced by:  6p5e11  9222  7p4e11  9225  8p3e11  9230  9p2e11  9236  fz1ssfz0  9865  fzo01  9961  bcp1nk  10476  arisum2  11236  ege2le3  11304  ef4p  11327  efgt1p2  11328  efgt1p  11329  ennnfonelem1  11847  dveflem  12782
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