Step
*
of Lemma
fpf-union-join_wf
∀[A:Type]. ∀[eq:EqDecider(A)]. ∀[B:A ⟶ Type]. ∀[f,g:a:A fp-> B[a] List]. ∀[R:⋂a:A. ((B[a] List) ⟶ B[a] ⟶ 𝔹)].
(fpf-union-join(eq;R;f;g) ∈ a:A fp-> B[a] List)
BY
{ (Auto THEN Unfold `fpf-union-join` 0 THEN Unfold `fpf` 0 THEN Auto) }
Latex:
Latex:
\mforall{}[A:Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[f,g:a:A fp-> B[a] List]. \mforall{}[R:\mcap{}a:A
((B[a] List)
{}\mrightarrow{} B[a]
{}\mrightarrow{} \mBbbB{})].
(fpf-union-join(eq;R;f;g) \mmember{} a:A fp-> B[a] List)
By
Latex:
(Auto THEN Unfold `fpf-union-join` 0 THEN Unfold `fpf` 0 THEN Auto)
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