Theorem problem1 35885

Description: Practice problem 1. Clues: 5p4e9 12310 3p2e5 12303 eqtri 2760 oveq1i 7378. (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 12303	. . 3 ⊢ (3 + 2) = 5
2	1	oveq1i 7378	. 2 ⊢ ((3 + 2) + 4) = (5 + 4)
3		5p4e9 12310	. 2 ⊢ (5 + 4) = 9
4	2, 3	eqtri 2760	1 ⊢ ((3 + 2) + 4) = 9

Syntax hints:   = wceq 1542  (class class class)co 7368   + caddc 11041  2c2 12212  3c3 12213  4c4 12214  5c5 12215  9c9 12219

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1797  ax-4 1811  ax-5 1912  ax-6 1969  ax-7 2010  ax-8 2116  ax-9 2124  ax-ext 2709  ax-1cn 11096  ax-addcl 11098  ax-addass 11103

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 849  df-3an 1089  df-tru 1545  df-fal 1555  df-ex 1782  df-sb 2069  df-clab 2716  df-cleq 2729  df-clel 2812  df-rab 3402  df-v 3444  df-dif 3906  df-un 3908  df-ss 3920  df-nul 4288  df-if 4482  df-sn 4583  df-pr 4585  df-op 4589  df-uni 4866  df-br 5101  df-iota 6456  df-fv 6508  df-ov 7371  df-2 12220  df-3 12221  df-4 12222  df-5 12223  df-6 12224  df-7 12225  df-8 12226  df-9 12227

This theorem is referenced by: (None)