Theorem 4p1e5 8948

Description: 4 + 1 = 5. (Contributed by Mario Carneiro, 18-Apr-2015.)

Assertion

Ref	Expression
4p1e5	|- ( 4 + 1 ) = 5

Proof of Theorem 4p1e5

Step	Hyp	Ref	Expression
1		df-5 8874	. 2 |- 5 = ( 4 + 1 )
2	1	eqcomi 2158	1 |- ( 4 + 1 ) = 5

Syntax hints:   = wceq 1332  (class class class)co 5814   1c1 7712   + caddc 7714   4c4 8865   5c5 8866

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 1424  ax-gen 1426  ax-ext 2136

This theorem depends on definitions:  df-bi 116  df-cleq 2147  df-5 8874

This theorem is referenced by:  8t7e56  9393  9t6e54  9399  ex-exp  13241  ex-fac  13242