Step
*
of Lemma
assert-is-filter-image
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[f:Top]. ∀[X:EClass(Top)]. ∀[e:E].
(↑e ∈b f[X] ~ if e ∈b X then ↑(#(f X(e)) =z 1) else False fi )
BY
{ ((UnivCD THENA Auto) THEN (RWO "is-filter-image-sq" 0 THENA Auto) THEN AutoBoolCase ⌈e ∈b X⌉⋅) }
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[f:Top]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
(\muparrow{}e \mmember{}\msubb{} f[X] \msim{} if e \mmember{}\msubb{} X then \muparrow{}(\#(f X(e)) =\msubz{} 1) else False fi )
By
((UnivCD THENA Auto) THEN (RWO "is-filter-image-sq" 0 THENA Auto) THEN AutoBoolCase \mkleeneopen{}e \mmember{}\msubb{} X\mkleeneclose{}\mcdot{})
Home
Index