Nuprl - Proof: edge-from 1 1 2

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At: edge-from 1 1 2

1. G : Id

2. to : |G|

(IdLnk List)
3. from : |G|

(IdLnk List)
4. e : Edge(G)
5. i : |G|
6. bi-graph(G;to;from)
7. (e

from(i))
8.

i:|G|.
8. (

to(i).destination(l) = i
8. & G(source(l))
8. & (l

from(source(l)))
8. & (lnk-inv(l)

from(i)))
8. & (

from(i).source(l) = i
8. & & G(destination(l))
8. & & (l

to(destination(l)))
8. & & (lnk-inv(l)

to(i)))
9. (

to(i).destination(l) = i
9. & G(source(l))
9. & (l

from(source(l)))
9. & (lnk-inv(l)

from(i)))
10.

l:IdLnk.
10. (l

from(i))
10.

10. source(l) = i
10. & G(destination(l))
10. & (l

to(destination(l)))
10. & (lnk-inv(l)

to(i))
11. (e

from(i))

from(i))

By:	Unfold `bi-graph-from` -1

Generated subgoals:

None

About:

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