Theorem 7p1e8 10705

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 10640	. 2 |- 8 = ( 7 + 1 )
2	1	eqcomi 2415	1 |- ( 7 + 1 ) = 8

Syntax hints:   = wceq 1405  (class class class)co 6277   1c1 9522   + caddc 9524   7c7 10630   8c8 10631

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1639  ax-4 1652  ax-ext 2380

This theorem depends on definitions:  df-bi 185  df-cleq 2394  df-8 10640

This theorem is referenced by:  7t4e28  11102  9t9e81  11120  s8len  12915  prmlem2  14812  83prm  14815  163prm  14817  317prm  14818  631prm  14819  2503lem2  14827  2503lem3  14828  4001lem2  14831  4001lem3  14832  4001prm  14834  nnsum3primesle9  37823  bgoldbtbndlem1  37834