Theorem 7p1e8 10746

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 10681	. 2 |- 8 = ( 7 + 1 )
2	1	eqcomi 2462	1 |- ( 7 + 1 ) = 8

Syntax hints:   = wceq 1446  (class class class)co 6295   1c1 9545   + caddc 9547   7c7 10671   8c8 10672

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1671  ax-4 1684  ax-ext 2433

This theorem depends on definitions:  df-bi 189  df-cleq 2446  df-8 10681

This theorem is referenced by:  7t4e28  11142  9t9e81  11160  s8len  13004  prmlem2  15103  83prm  15106  163prm  15108  317prm  15109  631prm  15110  2503lem2  15121  2503lem3  15122  4001lem2  15125  4001lem3  15126  4001prm  15128  nnsum3primesle9  38899  bgoldbtbndlem1  38910