Theorem 3p1e4 9013

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 8939	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2174	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1348  (class class class)co 5853   1c1 7775   + caddc 7777   3c3 8930   4c4 8931

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1440  ax-gen 1442  ax-ext 2152

This theorem depends on definitions:  df-bi 116  df-cleq 2163  df-4 8939

This theorem is referenced by:  7t6e42  9455  8t5e40  9460  9t5e45  9467  fac4  10667  4bc3eq4  10707  hash4  10749  cosq23lt0  13548  binom4  13691