Theorem 6p1e7 9059

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 8985	. 2 ⊢ 7 = (6 + 1)
2	1	eqcomi 2181	1 ⊢ (6 + 1) = 7

Syntax hints:   = wceq 1353  (class class class)co 5877  1c1 7814   + caddc 7816  6c6 8976  7c7 8977

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1447  ax-gen 1449  ax-ext 2159

This theorem depends on definitions:  df-bi 117  df-cleq 2170  df-7 8985

This theorem is referenced by:  9t8e72  9513