Theorem problem1 35847

Description: Practice problem 1. Clues: 5p4e9 12334 3p2e5 12327 eqtri 2759 oveq1i 7377. (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 12327	. . 3 ⊢ (3 + 2) = 5
2	1	oveq1i 7377	. 2 ⊢ ((3 + 2) + 4) = (5 + 4)
3		5p4e9 12334	. 2 ⊢ (5 + 4) = 9
4	2, 3	eqtri 2759	1 ⊢ ((3 + 2) + 4) = 9

Syntax hints:   = wceq 1542  (class class class)co 7367   + caddc 11041  2c2 12236  3c3 12237  4c4 12238  5c5 12239  9c9 12243

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 2708  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 2715  df-cleq 2728  df-clel 2811  df-rab 3390  df-v 3431  df-dif 3892  df-un 3894  df-ss 3906  df-nul 4274  df-if 4467  df-sn 4568  df-pr 4570  df-op 4574  df-uni 4851  df-br 5086  df-iota 6454  df-fv 6506  df-ov 7370  df-2 12244  df-3 12245  df-4 12246  df-5 12247  df-6 12248  df-7 12249  df-8 12250  df-9 12251

This theorem is referenced by: (None)