X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?a=blobdiff_plain;f=trav-proofs.tex;h=f1993d31191fa6ec9798dc9a00bca0903540cc98;hb=0ef6782afa245b0744d82dc7ff2d5a34a1fe2dc1;hp=876525dd7253d56f8963a23d41f6d71f02a1a52e;hpb=d5836b17ce78e4f79f38325cdb1ce20f29c881ca;p=topbloke-formulae.git diff --git a/trav-proofs.tex b/trav-proofs.tex index 876525d..f1993d3 100644 --- a/trav-proofs.tex +++ b/trav-proofs.tex @@ -9,13 +9,13 @@ WIP WHAT ABOUT PROVING ALL THE TRAVERSAL RESULTS Firstly, some lemmas. \statement{Tip Correct Contents}{ - \tipcy \haspatch \pd + \tipcy \haspatch \pa E \equiv - \pd = \pc \lor \pd \isdep \pc + \pa E = \pc \lor \pa E \isdep \pc } \proof{ - For $\pc = \pd$, Tip Own Contents suffices. - For $\pc \neq \pd$, Exclusive Tip Contents + For $\pc = \pa E$, Tip Own Contents suffices. + For $\pc \neq \pa E$, Exclusive Tip Contents gives $D \isin \tipcy \equiv D \isin \baseof{\tipcy}$ which by Correct Base $\equiv D \isin \tipcn$. }