Step * of Lemma free-dl-join_wf

[X:Type]. ∀[as,bs:free-dl-type(X)].  (free-dl-join(as;bs) ∈ free-dl-type(X))
BY
(Auto THEN (InstLemma `dlattice-eq-equiv` [⌜X⌝]⋅ THENA Auto)) }

1
1. Type
2. as free-dl-type(X)
3. bs free-dl-type(X)
4. EquivRel(X List List;as,bs.dlattice-eq(X;as;bs))
⊢ free-dl-join(as;bs) ∈ free-dl-type(X)


Latex:


Latex:
\mforall{}[X:Type].  \mforall{}[as,bs:free-dl-type(X)].    (free-dl-join(as;bs)  \mmember{}  free-dl-type(X))


By


Latex:
(Auto  THEN  (InstLemma  `dlattice-eq-equiv`  [\mkleeneopen{}X\mkleeneclose{}]\mcdot{}  THENA  Auto))




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