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-rw-r--r--Univalence.thy4
1 files changed, 3 insertions, 1 deletions
diff --git a/Univalence.thy b/Univalence.thy
index 80325f3..8599ba7 100644
--- a/Univalence.thy
+++ b/Univalence.thy
@@ -15,6 +15,8 @@ begin
section \<open>Homotopy and equivalence\<close>
+text "We define polymorphic constants implementing the definitions of homotopy and equivalence."
+
axiomatization homotopic :: "[Term, Term] \<Rightarrow> Term" (infix "~" 100) where
homotopic_def: "\<lbrakk>
f: \<Prod>x:A. B x;
@@ -166,7 +168,7 @@ proof
qed
-text "The univalence axiom:"
+text "The univalence axiom."
axiomatization univalence :: Term where
ua: "univalence: isequiv idtoeqv"