diff options
Diffstat (limited to 'mltt/core/MLTT.thy')
| -rw-r--r-- | mltt/core/MLTT.thy | 12 |
1 files changed, 6 insertions, 6 deletions
diff --git a/mltt/core/MLTT.thy b/mltt/core/MLTT.thy index 29c7248..96cbe96 100644 --- a/mltt/core/MLTT.thy +++ b/mltt/core/MLTT.thy @@ -63,15 +63,15 @@ typedecl lvl axiomatization O :: \<open>lvl\<close> and S :: \<open>lvl \<Rightarrow> lvl\<close> and - lt :: \<open>lvl \<Rightarrow> lvl \<Rightarrow> prop\<close> (infix "<" 900) + lt :: \<open>lvl \<Rightarrow> lvl \<Rightarrow> prop\<close> (infix "<\<^sub>U" 900) where - O_min: "O < S i" and - lt_S: "i < S i" and - lt_trans: "i < j \<Longrightarrow> j < k \<Longrightarrow> i < k" + O_min: "O <\<^sub>U S i" and + lt_S: "i <\<^sub>U S i" and + lt_trans: "i <\<^sub>U j \<Longrightarrow> j <\<^sub>U k \<Longrightarrow> i <\<^sub>U k" axiomatization U :: \<open>lvl \<Rightarrow> o\<close> where - Ui_in_Uj: "i < j \<Longrightarrow> U i: U j" and - U_cumul: "A: U i \<Longrightarrow> i < j \<Longrightarrow> A: U j" + Ui_in_Uj: "i <\<^sub>U j \<Longrightarrow> U i: U j" and + U_cumul: "A: U i \<Longrightarrow> i <\<^sub>U j \<Longrightarrow> A: U j" lemma Ui_in_USi: "U i: U (S i)" |