Theorem problem1 35671

Description: Practice problem 1. Clues: 5p4e9 12425 3p2e5 12418 eqtri 2764 oveq1i 7442. (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 12418	. . 3 ⊢ (3 + 2) = 5
2	1	oveq1i 7442	. 2 ⊢ ((3 + 2) + 4) = (5 + 4)
3		5p4e9 12425	. 2 ⊢ (5 + 4) = 9
4	2, 3	eqtri 2764	1 ⊢ ((3 + 2) + 4) = 9

Syntax hints:   = wceq 1539  (class class class)co 7432   + caddc 11159  2c2 12322  3c3 12323  4c4 12324  5c5 12325  9c9 12329

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1794  ax-4 1808  ax-5 1909  ax-6 1966  ax-7 2006  ax-8 2109  ax-9 2117  ax-ext 2707  ax-1cn 11214  ax-addcl 11216  ax-addass 11221

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-3an 1088  df-tru 1542  df-fal 1552  df-ex 1779  df-sb 2064  df-clab 2714  df-cleq 2728  df-clel 2815  df-rab 3436  df-v 3481  df-dif 3953  df-un 3955  df-ss 3967  df-nul 4333  df-if 4525  df-sn 4626  df-pr 4628  df-op 4632  df-uni 4907  df-br 5143  df-iota 6513  df-fv 6568  df-ov 7435  df-2 12330  df-3 12331  df-4 12332  df-5 12333  df-6 12334  df-7 12335  df-8 12336  df-9 12337

This theorem is referenced by: (None)