Theorem 6p1e7 8652

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 8584	. 2 ⊢ 7 = (6 + 1)
2	1	eqcomi 2099	1 ⊢ (6 + 1) = 7

Syntax hints:   = wceq 1296  (class class class)co 5690  1c1 7448   + caddc 7450  6c6 8575  7c7 8576

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1388  ax-gen 1390  ax-ext 2077

This theorem depends on definitions:  df-bi 116  df-cleq 2088  df-7 8584

This theorem is referenced by:  9t8e72  9103