Theorem 6p1e7 8048

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 7978	. 2 |- 7 = ( 6 + 1 )
2	1	eqcomi 2044	1 |- ( 6 + 1 ) = 7

Syntax hints:   = wceq 1243  (class class class)co 5512   1c1 6890   + caddc 6892   6c6 7968   7c7 7969

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-gen 1338  ax-ext 2022

This theorem depends on definitions:  df-bi 110  df-cleq 2033  df-7 7978

This theorem is referenced by:  9t8e72  8468