Theorem 6p1e7 9445

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 9370	. 2 ⊢ 7 = (6 + 1)
2	1	eqcomi 2242	1 ⊢ (6 + 1) = 7

This proof depends on syntax axioms:   = wceq 1402  (class class class)co 6085  1c1 8180   + caddc 8182  6c6 9361  7c7 9362

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1500  ax-gen 1502  ax-ext 2220

This proof depends on definitions:  df-bi 117  df-cleq 2231  df-7 9370

This theorem is used by:  9t8e72  9913  37prm  13255  163prm  13259  317prm  13260  631prm  13261  1259lem1  13262  1259lem3  13264  1259lem4  13265  1259lem5  13266  log2ublem3  16142  log2ublog2  16143