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Metamath Proof Explorer

Theorem pncan1

Description: Cancellation law for addition and subtraction with 1. (Contributed by Alexander van der Vekens, 3-Oct-2018)

		Ref	Expression
	Assertion	pncan1	$⊢ A \in ℂ \to A + 1 - 1 = A$

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	pncand	$⊢ A \in ℂ \to A + 1 - 1 = A$