Theorem 6p1e7 8091

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 8024	. 2 ⊢ 7 = (6 + 1)
2	1	eqcomi 2058	1 ⊢ (6 + 1) = 7

Syntax hints:   = wceq 1257  (class class class)co 5537  1c1 6918   + caddc 6920  6c6 8014  7c7 8015

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-5 1350  ax-gen 1352  ax-ext 2036

This theorem depends on definitions:  df-bi 114  df-cleq 2047  df-7 8024

This theorem is referenced by:  9t8e72  8524