Theorem problem1 35893

Description: Practice problem 1. Clues: 5p4e9 12325 3p2e5 12318 eqtri 2762 oveq1i 7366. (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 12318	. . 3 ⊢ (3 + 2) = 5
2	1	oveq1i 7366	. 2 ⊢ ((3 + 2) + 4) = (5 + 4)
3		5p4e9 12325	. 2 ⊢ (5 + 4) = 9
4	2, 3	eqtri 2762	1 ⊢ ((3 + 2) + 4) = 9

Syntax hints:   = wceq 1547  (class class class)co 7356   + caddc 11032  2c2 12227  3c3 12228  4c4 12229  5c5 12230  9c9 12234

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1802  ax-4 1816  ax-5 1917  ax-6 1974  ax-7 2015  ax-8 2121  ax-9 2129  ax-ext 2711  ax-1cn 11087  ax-addcl 11089  ax-addass 11094

This theorem depends on definitions:  df-bi 208  df-an 397  df-or 854  df-3an 1094  df-tru 1550  df-fal 1560  df-ex 1787  df-sb 2074  df-clab 2718  df-cleq 2731  df-clel 2814  df-rab 3392  df-v 3433  df-dif 3886  df-un 3888  df-ss 3900  df-nul 4262  df-if 4455  df-sn 4556  df-pr 4558  df-op 4562  df-uni 4839  df-br 5073  df-iota 6441  df-fv 6493  df-ov 7359  df-2 12235  df-3 12236  df-4 12237  df-5 12238  df-6 12239  df-7 12240  df-8 12241  df-9 12242

This theorem is referenced by: (None)