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Metamath Proof Explorer

Theorem wrdfn

Description: A word is a function with a zero-based sequence of integers as domain. (Contributed by Alexander van der Vekens, 13-Apr-2018)

		Ref	Expression
	Assertion	wrdfn	$⊢ W \in Word S \to W Fn (0 ..^\|W\|)$

Step	Hyp	Ref	Expression
1		wrdf	$⊢ W \in Word S \to W : (0 ..^\|W\|) ⟶ S$
2	1	ffnd	$⊢ W \in Word S \to W Fn (0 ..^\|W\|)$