Theorem 6p1e7 9146

Description: 6 + 1 = 7. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
6p1e7	|- ( 6 + 1 ) = 7

Proof of Theorem 6p1e7

Step	Hyp	Ref	Expression
1		df-7 9071	. 2 |- 7 = ( 6 + 1 )
2	1	eqcomi 2200	1 |- ( 6 + 1 ) = 7

Syntax hints:   = wceq 1364  (class class class)co 5925   1c1 7897   + caddc 7899   6c6 9062   7c7 9063

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1461  ax-gen 1463  ax-ext 2178

This theorem depends on definitions:  df-bi 117  df-cleq 2189  df-7 9071

This theorem is referenced by:  9t8e72  9601