Step
*
of Lemma
dM-lift-meet
∀[I,J:fset(ℕ)]. ∀[f:I ⟶ J]. ∀[x,y:Point(dM(J))].
((dM-lift(I;J;f) x ∧ y) = dM-lift(I;J;f) x ∧ dM-lift(I;J;f) y ∈ Point(dM(I)))
BY
{ ((Auto THEN (GenConclTerm ⌜dM-lift(I;J;f)⌝⋅ THENA Auto)) THEN RepeatFor 4 (DVar `v') THEN Symmetry THEN Auto) }
Latex:
Latex:
\mforall{}[I,J:fset(\mBbbN{})]. \mforall{}[f:I {}\mrightarrow{} J]. \mforall{}[x,y:Point(dM(J))].
((dM-lift(I;J;f) x \mwedge{} y) = dM-lift(I;J;f) x \mwedge{} dM-lift(I;J;f) y)
By
Latex:
((Auto THEN (GenConclTerm \mkleeneopen{}dM-lift(I;J;f)\mkleeneclose{}\mcdot{} THENA Auto))
THEN RepeatFor 4 (DVar `v')
THEN Symmetry
THEN Auto)
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