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Step * of Lemma per-quotient-isect-base2

∀[T:Type]. ∀[E:T ⟶ T ⟶ ℙ].  x,y:T/per/E[x;y] ⋂ Base ⊆r T ⋂ Base supposing EquivRel(T;x,y.E[x;y])
BY
{ ((Auto THEN RWO "per-quotient-isect-base" 0) THEN Auto)⋅ }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[E:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].    x,y:T/per/E[x;y]  \mcap{}  Base  \msubseteq{}r  T  \mcap{}  Base  supposing  EquivRel(T;x,y.E[x;y])


By

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Latex:
((Auto  THEN  RWO  "per-quotient-isect-base"  0)  THEN  Auto)\mcdot{}

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