Step
*
of Lemma
fpf-single-valued_wf
∀[A,V:Type]. ∀[B:A ⟶ Type].
∀[eq:EqDecider(A)]. ∀[g:x:A fp-> B[x] List]. (fpf-single-valued(A;eq;x.B[x];V;g) ∈ ℙ) supposing ∀a:A. (B[a] ⊆r V)
BY
{ ((Auto THEN Unfold `fpf-single-valued` 0) THEN Auto THEN DoSubsume THEN Auto) }
Latex:
Latex:
\mforall{}[A,V:Type]. \mforall{}[B:A {}\mrightarrow{} Type].
\mforall{}[eq:EqDecider(A)]. \mforall{}[g:x:A fp-> B[x] List]. (fpf-single-valued(A;eq;x.B[x];V;g) \mmember{} \mBbbP{})
supposing \mforall{}a:A. (B[a] \msubseteq{}r V)
By
Latex:
((Auto THEN Unfold `fpf-single-valued` 0) THEN Auto THEN DoSubsume THEN Auto)
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