Theorem 7p1e8 9060

Description: 7 + 1 = 8. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
7p1e8	⊢ (7 + 1) = 8

Proof of Theorem 7p1e8

Step	Hyp	Ref	Expression
1		df-8 8986	. 2 ⊢ 8 = (7 + 1)
2	1	eqcomi 2181	1 ⊢ (7 + 1) = 8

Syntax hints:   = wceq 1353  (class class class)co 5877  1c1 7814   + caddc 7816  7c7 8977  8c8 8978

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-8 8986

This theorem is referenced by:  7t4e28  9496  9t9e81  9514