Theorem 7p1e8 12325

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 12250	. 2 ⊢ 8 = (7 + 1)
2	1	eqcomi 2745	1 ⊢ (7 + 1) = 8

Syntax hints:   = wceq 1542  (class class class)co 7367  1c1 11039   + caddc 11041  7c7 12241  8c8 12242

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 2708

This theorem depends on definitions:  df-bi 207  df-an 396  df-ex 1782  df-cleq 2728  df-8 12250

This theorem is referenced by:  7t4e28  12755  9t9e81  12773  s8len  14865  prmlem2  17090  83prm  17093  163prm  17095  317prm  17096  631prm  17097  2503lem2  17108  2503lem3  17109  4001lem2  17112  4001lem3  17113  4001prm  17115  hgt750lem  34795  hgt750lem2  34796  lcmineqlem  42491  3cubeslem3l  43118  3cubeslem3r  43119  resqrtvalex  44072  imsqrtvalex  44073  fmtno5lem4  48019  fmtno4nprmfac193  48037  m3prm  48055  m7prm  48063  nnsum3primesle9  48270  bgoldbtbndlem1  48281