Theorem 7p1e8 12412

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 12332	. 2 ⊢ 8 = (7 + 1)
2	1	eqcomi 2743	1 ⊢ (7 + 1) = 8

Syntax hints:   = wceq 1536  (class class class)co 7430  1c1 11153   + caddc 11155  7c7 12323  8c8 12324

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1791  ax-4 1805  ax-5 1907  ax-6 1964  ax-7 2004  ax-9 2115  ax-ext 2705

This theorem depends on definitions:  df-bi 207  df-an 396  df-ex 1776  df-cleq 2726  df-8 12332

This theorem is referenced by:  7t4e28  12841  9t9e81  12859  s8len  14938  prmlem2  17153  83prm  17156  163prm  17158  317prm  17159  631prm  17160  2503lem2  17171  2503lem3  17172  4001lem2  17175  4001lem3  17176  4001prm  17178  hgt750lem  34644  hgt750lem2  34645  lcmineqlem  42033  3cubeslem3l  42673  3cubeslem3r  42674  resqrtvalex  43634  imsqrtvalex  43635  fmtno5lem4  47480  fmtno4nprmfac193  47498  m3prm  47516  m7prm  47524  nnsum3primesle9  47718  bgoldbtbndlem1  47729