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Metamath Proof Explorer

Theorem 7p4e11

Description: 7 + 4 = 11. (Contributed by Mario Carneiro, 19-Apr-2015) (Revised by AV, 6-Sep-2021)

		Ref	Expression
	Assertion	7p4e11	$⊢ 7 + 4 = 11$

Step	Hyp	Ref	Expression
1		7nn0	$⊢ 7 \in ℕ_{0}$
2		3nn0	$⊢ 3 \in ℕ_{0}$
3		0nn0	$⊢ 0 \in ℕ_{0}$
4		df-4	$⊢ 4 = 3 + 1$
5		1e0p1	$⊢ 1 = 0 + 1$
6		7p3e10	$⊢ 7 + 3 = 10$
7	1 2 3 4 5 6	6p5lem	$⊢ 7 + 4 = 11$