Step
*
of Lemma
rv-ip-add
∀[rv:InnerProductSpace]. ∀[x,y,z:Point]. (x + y ⋅ z = (x ⋅ z + y ⋅ z))
BY
{ (Auto
THEN (D 1 THENA Auto)
THEN Unfold `rv-ip` 0
THEN MemTypeHD (-3)
THEN ∀h:hyp. Fold `member` h
THEN Try (Unhide)
THEN Auto) }
Latex:
Latex:
\mforall{}[rv:InnerProductSpace]. \mforall{}[x,y,z:Point]. (x + y \mcdot{} z = (x \mcdot{} z + y \mcdot{} z))
By
Latex:
(Auto
THEN (D 1 THENA Auto)
THEN Unfold `rv-ip` 0
THEN MemTypeHD (-3)
THEN \mforall{}h:hyp. Fold `member` h
THEN Try (Unhide)
THEN Auto)
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