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	$$⊢W\in \mathrm{Word}S\to WFn\left(0..^\left|W\right|\right)$$

Proof

Step	Hyp	Ref	Expression
1		wrdf	$$⊢W\in \mathrm{Word}S\to W:\left(0..^\left|W\right|\right)⟶S$$
2	1	ffnd	$$⊢W\in \mathrm{Word}S\to WFn\left(0..^\left|W\right|\right)$$