Theorem 3p1e4 9361

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 9286	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2236	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1398  (class class class)co 6041   1c1 8116   + caddc 8118   3c3 9277   4c4 9278

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 1496  ax-gen 1498  ax-ext 2214

This theorem depends on definitions:  df-bi 117  df-cleq 2225  df-4 9286

This theorem is referenced by:  7t6e42  9807  8t5e40  9812  9t5e45  9819  fac4  11081  4bc3eq4  11121  hash4  11164  2exp16  13113  cosq23lt0  15668  binom4  15814