Skip to content

Add infinite_UNIV to simp set #101

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
merged 1 commit into from
Sep 28, 2025
Merged

Add infinite_UNIV to simp set #101

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
4 changes: 3 additions & 1 deletion thys/Classes.thy
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -20,6 +20,8 @@ lemma Card_order_dir_image: "Card_order r \<Longrightarrow> type_definition Rep
lemma (in infinite) Un_bound: "|A| <o |UNIV::'a set| \<Longrightarrow> |B| <o |UNIV::'a set| \<Longrightarrow> |A \<union> B| <o |UNIV::'a set|"
using card_of_Un_ordLess_infinite local.infinite_UNIV by blast

lemmas [simp] = infinite_UNIV

(********* var class ****************)
class var =
assumes large: "|Field natLeq| \<le>o |UNIV::'a set|"
Expand Down Expand Up @@ -48,7 +50,7 @@ lemma list_countable: "|UNIV::('a::finite) list set| =o natLeq"
instantiation list :: (finite) var begin
instance
apply standard
using Field_natLeq infinite_UNIV infinite_iff_card_of_nat apply auto[1]
apply (simp add: Cinfinite_ordLeq_natLeq cinfinite_iff_infinite)
using list_countable natLeq_Cinfinite ordIso_symmetric regularCard_natLeq regularCard_ordIso by blast
end

Expand Down