Theorem 3p1e4 9422

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 9347	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2242	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1402  (class class class)co 6078   1c1 8173   + caddc 8175   3c3 9338   4c4 9339

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 1500  ax-gen 1502  ax-ext 2220

This theorem depends on definitions:  df-bi 117  df-cleq 2231  df-4 9347

This theorem is referenced by:  7t6e42  9871  8t5e40  9876  9t5e45  9883  fac4  11152  4bc3eq4  11193  hash4  11236  2exp16  13197  cosq23lt0  15860  binom4  16007