Theorem problem1 35692

Description: Practice problem 1. Clues: 5p4e9 12403 3p2e5 12396 eqtri 2759 oveq1i 7420. (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 12396	. . 3 ⊢ (3 + 2) = 5
2	1	oveq1i 7420	. 2 ⊢ ((3 + 2) + 4) = (5 + 4)
3		5p4e9 12403	. 2 ⊢ (5 + 4) = 9
4	2, 3	eqtri 2759	1 ⊢ ((3 + 2) + 4) = 9

Syntax hints:   = wceq 1540  (class class class)co 7410   + caddc 11137  2c2 12300  3c3 12301  4c4 12302  5c5 12303  9c9 12307

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1967  ax-7 2008  ax-8 2111  ax-9 2119  ax-ext 2708  ax-1cn 11192  ax-addcl 11194  ax-addass 11199

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-3an 1088  df-tru 1543  df-fal 1553  df-ex 1780  df-sb 2066  df-clab 2715  df-cleq 2728  df-clel 2810  df-rab 3421  df-v 3466  df-dif 3934  df-un 3936  df-ss 3948  df-nul 4314  df-if 4506  df-sn 4607  df-pr 4609  df-op 4613  df-uni 4889  df-br 5125  df-iota 6489  df-fv 6544  df-ov 7413  df-2 12308  df-3 12309  df-4 12310  df-5 12311  df-6 12312  df-7 12313  df-8 12314  df-9 12315

This theorem is referenced by: (None)