Theorem 7p1e8 12320

Description: 7 + 1 = 8. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
7p1e8	⊢ (7 + 1) = 8

Proof of Theorem 7p1e8

Step	Hyp	Ref	Expression
1		df-8 12245	. 2 ⊢ 8 = (7 + 1)
2	1	eqcomi 2746	1 ⊢ (7 + 1) = 8

Syntax hints:   = wceq 1542  (class class class)co 7362  1c1 11034   + caddc 11036  7c7 12236  8c8 12237

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1912  ax-6 1969  ax-7 2010  ax-9 2124  ax-ext 2709

This theorem depends on definitions:  df-bi 207  df-an 396  df-ex 1782  df-cleq 2729  df-8 12245

This theorem is referenced by:  7t4e28  12750  9t9e81  12768  s8len  14860  prmlem2  17085  83prm  17088  163prm  17090  317prm  17091  631prm  17092  2503lem2  17103  2503lem3  17104  4001lem2  17107  4001lem3  17108  4001prm  17110  hgt750lem  34815  hgt750lem2  34816  lcmineqlem  42509  3cubeslem3l  43136  3cubeslem3r  43137  resqrtvalex  44094  imsqrtvalex  44095  fmtno5lem4  48035  fmtno4nprmfac193  48053  m3prm  48071  m7prm  48079  nnsum3primesle9  48286  bgoldbtbndlem1  48297