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Metamath Proof Explorer

Theorem 7lt8

Description: 7 is less than 8. (Contributed by Mario Carneiro, 15-Sep-2013)

		Ref	Expression
	Assertion	7lt8	$⊢ 7 < 8$

Step	Hyp	Ref	Expression
1		7re	$⊢ 7 \in ℝ$
2	1	ltp1i	$⊢ 7 < 7 + 1$
3		df-8	$⊢ 8 = 7 + 1$
4	2 3	breqtrri	$⊢ 7 < 8$