Theorem 7p1e8 10566

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 10501	. 2 |- 8 = ( 7 + 1 )
2	1	eqcomi 2467	1 |- ( 7 + 1 ) = 8

Syntax hints:   = wceq 1370  (class class class)co 6203   1c1 9398   + caddc 9400   7c7 10491   8c8 10492

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-ext 2432

This theorem depends on definitions:  df-bi 185  df-cleq 2446  df-8 10501

This theorem is referenced by:  7t4e28  10954  9t9e81  10972  s8len  12645  prmlem2  14269  83prm  14272  163prm  14274  317prm  14275  631prm  14276  2503lem2  14284  2503lem3  14285  4001lem2  14288  4001lem3  14289  4001prm  14291