diff options
Diffstat (limited to 'Sum.thy')
-rw-r--r-- | Sum.thy | 13 |
1 files changed, 7 insertions, 6 deletions
@@ -57,12 +57,13 @@ lemmas Sum_form_conds [elim, wellform] = Sum_form_cond1 Sum_form_cond2 abbreviation Pair :: "[Term, Term] \<Rightarrow> Term" (infixr "\<times>" 50) where "A \<times> B \<equiv> \<Sum>_:A. B" -lemma - Pair_intro [intro]: "\<And>A B a b. \<lbrakk>a : A; b : B\<rbrakk> \<Longrightarrow> (a,b) : A \<times> B" - proof - fix b B assume "b : B" - then show "B : U" .. - qed +text "The nondependent pair needs its own separate introduction rule." + +lemma Pair_intro [intro]: "\<And>A B a b. \<lbrakk>a : A; b : B\<rbrakk> \<Longrightarrow> (a,b) : A \<times> B" +proof + fix b B assume "b : B" + then show "B : U" .. +qed end
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