Step
*
of Lemma
fpf-sub-join
∀[A:Type]. ∀[B:A ─→ Type]. ∀[eq:EqDecider(A)]. ∀[f,g:a:A fp-> B[a]]. {f ⊆ f ⊕ g ∧ g ⊆ f ⊕ g} supposing f || g
BY
{ (Unfold `guard` 0
THEN Auto
THEN Try ((Using [`B2',⌈B⌉] (BLemma `fpf-sub-join-left`)⋅ THEN Auto))
THEN Try ((BLemma `fpf-sub-join-right` THEN Auto))) }
Latex:
\mforall{}[A:Type]. \mforall{}[B:A {}\mrightarrow{} Type]. \mforall{}[eq:EqDecider(A)]. \mforall{}[f,g:a:A fp-> B[a]].
\{f \msubseteq{} f \moplus{} g \mwedge{} g \msubseteq{} f \moplus{} g\} supposing f || g
By
(Unfold `guard` 0
THEN Auto
THEN Try ((Using [`B2',\mkleeneopen{}B\mkleeneclose{}] (BLemma `fpf-sub-join-left`)\mcdot{} THEN Auto))
THEN Try ((BLemma `fpf-sub-join-right` THEN Auto)))
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