teeinput
Moved well_ord_Memrel, lt_eq_pred, Ord_iso_implies_eq_lemma,
Ord_iso_implies_eq to top of file, as they do not require the other
material. Simplified proof of ordertype_subset.
Proved ordertype_eq: a short proof using deepen_tac! Deleted
bij_ordermap_vimage and ordermap_Memrel
"bij_ordermap_vimage and ordermap_Memrelf. [| f: bij(A,B); well_ord(B,r); x:A |] ==>\
\ ordermap(A,rvimage(A,f,r)) ` x = ordermap(B,r) ` (f`x)";
"\ ordermap(A,rvimage(A,f,r)) ` x = ordermap(B,r) ` (f`x)";i. [| Ord(i); j:i |] ==> ordermap(i,Memrel(i)) ` j = j"
because ordertype_eq serves the same purpose. Proofs of bij_ordertype_vimage
and ordertype_Memrel are now trivial.
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#! /bin/sh
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# teeinput -- start a program and log all inputs to a file
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# environment variable $LISTEN specifies the file name
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tee -a -i $LISTEN | $* |