Theorem 6p1e7 9016

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 8942	. 2 |- 7 = ( 6 + 1 )
2	1	eqcomi 2174	1 |- ( 6 + 1 ) = 7

Syntax hints:   = wceq 1348  (class class class)co 5853   1c1 7775   + caddc 7777   6c6 8933   7c7 8934

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1440  ax-gen 1442  ax-ext 2152

This theorem depends on definitions:  df-bi 116  df-cleq 2163  df-7 8942

This theorem is referenced by:  9t8e72  9470