Theorem 3p1e4 8286

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 8219	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2087	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1285  (class class class)co 5563   1c1 7096   + caddc 7098   3c3 8209   4c4 8210

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-5 1377  ax-gen 1379  ax-ext 2065

This theorem depends on definitions:  df-bi 115  df-cleq 2076  df-4 8219

This theorem is referenced by:  7t6e42  8722  8t5e40  8727  9t5e45  8734  fac4  9809  4bc3eq4  9849  hash4  9890