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Metamath Proof Explorer

Theorem npcan1

Description: Cancellation law for subtraction and addition with 1. (Contributed by Alexander van der Vekens, 5-Oct-2018)

		Ref	Expression
	Assertion	npcan1	$⊢ A \in ℂ \to A - 1 + 1 = A$

Step	Hyp	Ref	Expression
1		id	$⊢ A \in ℂ \to A \in ℂ$
2		1cnd	$⊢ A \in ℂ \to 1 \in ℂ$
3	1 2	npcand	$⊢ A \in ℂ \to A - 1 + 1 = A$