Theorem 3p1e4 9246

Description: 3 + 1 = 4. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
3p1e4	|- ( 3 + 1 ) = 4

Proof of Theorem 3p1e4

Step	Hyp	Ref	Expression
1		df-4 9171	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2233	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1395  (class class class)co 6001   1c1 8000   + caddc 8002   3c3 9162   4c4 9163

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 1493  ax-gen 1495  ax-ext 2211

This theorem depends on definitions:  df-bi 117  df-cleq 2222  df-4 9171

This theorem is referenced by:  7t6e42  9690  8t5e40  9695  9t5e45  9702  fac4  10955  4bc3eq4  10995  hash4  11036  2exp16  12960  cosq23lt0  15507  binom4  15653