Theorem 4p1e5 8606

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 8538	. 2 ⊢ 5 = (4 + 1)
2	1	eqcomi 2093	1 ⊢ (4 + 1) = 5

Syntax hints:   = wceq 1290  (class class class)co 5666  1c1 7405   + caddc 7407  4c4 8529  5c5 8530

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1382  ax-gen 1384  ax-ext 2071

This theorem depends on definitions:  df-bi 116  df-cleq 2082  df-5 8538

This theorem is referenced by:  8t7e56  9050  9t6e54  9056  ex-exp  11920  ex-fac  11921