Theorem 4p1e5 9086

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 9012	. 2 ⊢ 5 = (4 + 1)
2	1	eqcomi 2193	1 ⊢ (4 + 1) = 5

Syntax hints:   = wceq 1364  (class class class)co 5897  1c1 7843   + caddc 7845  4c4 9003  5c5 9004

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 1458  ax-gen 1460  ax-ext 2171

This theorem depends on definitions:  df-bi 117  df-cleq 2182  df-5 9012

This theorem is referenced by:  8t7e56  9534  9t6e54  9540  ex-exp  14957  ex-fac  14958