Theorem 7p1e8 10741

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 10676	. 2 |- 8 = ( 7 + 1 )
2	1	eqcomi 2436	1 |- ( 7 + 1 ) = 8

Syntax hints:   = wceq 1438  (class class class)co 6303   1c1 9542   + caddc 9544   7c7 10666   8c8 10667

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1666  ax-4 1679  ax-ext 2401

This theorem depends on definitions:  df-bi 189  df-cleq 2415  df-8 10676

This theorem is referenced by:  7t4e28  11137  9t9e81  11155  s8len  12992  prmlem2  15084  83prm  15087  163prm  15089  317prm  15090  631prm  15091  2503lem2  15102  2503lem3  15103  4001lem2  15106  4001lem3  15107  4001prm  15109  nnsum3primesle9  38645  bgoldbtbndlem1  38656