Theorem 3p1e4 9126

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 9051	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2200	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1364  (class class class)co 5922   1c1 7880   + caddc 7882   3c3 9042   4c4 9043

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 1461  ax-gen 1463  ax-ext 2178

This theorem depends on definitions:  df-bi 117  df-cleq 2189  df-4 9051

This theorem is referenced by:  7t6e42  9569  8t5e40  9574  9t5e45  9581  fac4  10825  4bc3eq4  10865  hash4  10906  2exp16  12606  cosq23lt0  15069  binom4  15215