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Theorem 0p1e1 7769
Description: 0 + 1 = 1. (Contributed by David A. Wheeler, 7-Jul-2016.)
Assertion
Ref Expression
0p1e1 (0 + 1) = 1

Proof of Theorem 0p1e1
StepHypRef Expression
1 ax-1cn 6736 . 2 1
21addid2i 6913 1 (0 + 1) = 1
Colors of variables: wff set class
Syntax hints:   = wceq 1242  (class class class)co 5455  0cc0 6671  1c1 6672   + caddc 6674
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-17 1416  ax-ial 1424  ax-ext 2019  ax-1cn 6736  ax-icn 6738  ax-addcl 6739  ax-mulcl 6741  ax-addcom 6743  ax-i2m1 6748  ax-0id 6751
This theorem depends on definitions:  df-bi 110  df-cleq 2030  df-clel 2033
This theorem is referenced by:  zgt0ge1  8038  nn0lt10b  8057  gtndiv  8071  nn0ind-raph  8091  1e0p1  8131  fz01en  8647  fz0tp  8711  elfzonlteqm1  8796  fzo0to2pr  8804  fzo0to3tp  8805  expp1  8876
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