Theorem problem1 33623

Description: Practice problem 1. Clues: 5p4e9 12131 3p2e5 12124 eqtri 2766 oveq1i 7285. (Contributed by Filip Cernatescu, 16-Mar-2019.) (Proof modification is discouraged.)

Assertion

Ref	Expression
problem1	⊢ ((3 + 2) + 4) = 9

Proof of Theorem problem1

Step	Hyp	Ref	Expression
1		3p2e5 12124	. . 3 ⊢ (3 + 2) = 5
2	1	oveq1i 7285	. 2 ⊢ ((3 + 2) + 4) = (5 + 4)
3		5p4e9 12131	. 2 ⊢ (5 + 4) = 9
4	2, 3	eqtri 2766	1 ⊢ ((3 + 2) + 4) = 9

Syntax hints:   = wceq 1539  (class class class)co 7275   + caddc 10874  2c2 12028  3c3 12029  4c4 12030  5c5 12031  9c9 12035

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1798  ax-4 1812  ax-5 1913  ax-6 1971  ax-7 2011  ax-8 2108  ax-9 2116  ax-ext 2709  ax-1cn 10929  ax-addcl 10931  ax-addass 10936

This theorem depends on definitions:  df-bi 206  df-an 397  df-or 845  df-3an 1088  df-tru 1542  df-fal 1552  df-ex 1783  df-sb 2068  df-clab 2716  df-cleq 2730  df-clel 2816  df-rab 3073  df-v 3434  df-dif 3890  df-un 3892  df-in 3894  df-ss 3904  df-nul 4257  df-if 4460  df-sn 4562  df-pr 4564  df-op 4568  df-uni 4840  df-br 5075  df-iota 6391  df-fv 6441  df-ov 7278  df-2 12036  df-3 12037  df-4 12038  df-5 12039  df-6 12040  df-7 12041  df-8 12042  df-9 12043

This theorem is referenced by: (None)