8t5e40

Description: 8 times 5 equals 40. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)

		Ref	Expression
	Assertion	8t5e40	$⊢ 8 \cdot 5 = 40$

Step	Hyp	Ref	Expression
1		8nn0	$⊢ 8 \in ℕ_{0}$
2		4nn0	$⊢ 4 \in ℕ_{0}$
3		df-5	$⊢ 5 = 4 + 1$
4		8t4e32	$⊢ 8 \cdot 4 = 32$
5		3nn0	$⊢ 3 \in ℕ_{0}$
6		2nn0	$⊢ 2 \in ℕ_{0}$
7		eqid	$⊢ 32 = 32$
8		3p1e4	$⊢ 3 + 1 = 4$
9		8cn	$⊢ 8 \in ℂ$
10		2cn	$⊢ 2 \in ℂ$
11		8p2e10	$⊢ 8 + 2 = 10$
12	9 10 11	addcomli	$⊢ 2 + 8 = 10$
13	5 6 1 7 8 12	decaddci2	$⊢ 32 + 8 = 40$
14	1 2 3 4 13	4t3lem	$⊢ 8 \cdot 5 = 40$

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