Theorem 6p1e7 8237

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 8170	. 2 ⊢ 7 = (6 + 1)
2	1	eqcomi 2086	1 ⊢ (6 + 1) = 7

Syntax hints:   = wceq 1285  (class class class)co 5543  1c1 7044   + caddc 7046  6c6 8160  7c7 8161

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1377  ax-gen 1379  ax-ext 2064

This theorem depends on definitions:  df-bi 115  df-cleq 2075  df-7 8170

This theorem is referenced by:  9t8e72  8685