Theorem 3p1e4 9084

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 9010	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2193	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1364  (class class class)co 5896   1c1 7842   + caddc 7844   3c3 9001   4c4 9002

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 1458  ax-gen 1460  ax-ext 2171

This theorem depends on definitions:  df-bi 117  df-cleq 2182  df-4 9010

This theorem is referenced by:  7t6e42  9526  8t5e40  9531  9t5e45  9538  fac4  10745  4bc3eq4  10785  hash4  10826  cosq23lt0  14711  binom4  14854