Theorem 3p1e4 9375

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 9300	. 2 |- 4 = ( 3 + 1 )
2	1	eqcomi 2238	1 |- ( 3 + 1 ) = 4

Syntax hints:   = wceq 1398  (class class class)co 6052   1c1 8130   + caddc 8132   3c3 9291   4c4 9292

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 1496  ax-gen 1498  ax-ext 2216

This theorem depends on definitions:  df-bi 117  df-cleq 2227  df-4 9300

This theorem is referenced by:  7t6e42  9824  8t5e40  9829  9t5e45  9836  fac4  11099  4bc3eq4  11140  hash4  11183  2exp16  13139  cosq23lt0  15715  binom4  15861