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Metamath Proof Explorer

Theorem crctistrl

Description: A circuit is a trail. (Contributed by Alexander van der Vekens, 30-Oct-2017) (Revised by AV, 31-Jan-2021)

		Ref	Expression
	Assertion	crctistrl	$⊢ F Circuits (G) P \to F Trails (G) P$

Step	Hyp	Ref	Expression
1		crctprop	$⊢ F Circuits (G) P \to (F Trails (G) P \land P (0) = P (\|F\|))$
2	1	simpld	$⊢ F Circuits (G) P \to F Trails (G) P$