foreign notation: introduce \isforeign

[topbloke-formulae.git] / invariants.tex

diff --git a/invariants.tex b/invariants.tex
index 736fb8ee569ed5a2791bfae5b1c817cd95cfaa23..6cebb053d65db879fe6ad327ab58f434bef93d74 100644 (file)
--- a/invariants.tex
+++ b/invariants.tex
@@ -22,11 +22,11 @@ We maintain these each time we construct a new commit. \\
   \bigforall_{C,\p} C \haspatch \p \implies \pendsof{C}{\py} = \{ T \}
 }\]
 \[\eqn{Foreign Inclusion}{
-  \bigforall_{D \text{ s.t. } \patchof{D} = \foreign} D \isin C \equiv D \leq C
+  \bigforall_{D \text{ s.t. } \isforeign{D}} D \isin C \equiv D \leq C
 }\]
 \[\eqn{Foreign Contents}{
-  \bigforall_{C \text{ s.t. } \patchof{C} = \foreign}
-    D \le C \implies \patchof{D} = \foreign
+  \bigforall_{C \text{ s.t. } \isforeign{C}}
+    D \le C \implies \isforeign{D}
 }\]
 
 We also assign each new commit $C$ to zero or one of the sets $\p$, as