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theory Defs imports Main begin datatype laoe = Wrosh | kaWum laoe fun wrotz where "wrotz (kaWum m) n = kaWum (wrotz m n)" | "wrotz Wrosh n = n" fun wrush where "wrush (kaWum m) n = wrotz n (wrush m n)" | "wrush Wrosh n = Wrosh" end
theory Submission
imports Defs
begin
theorem wrotz_wrush_crazy2: "wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe)"
oops
theorem wrotz_wrush_notcrazy2: "~(\<forall>k m n. wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe))"
oops
end
theory Check
imports Submission
begin
theorem "wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe)"
by (rule Submission.wrotz_wrush_crazy2)
theorem "~(\<forall>k m n. wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe))"
by (rule Submission.wrotz_wrush_notcrazy2)
end
theory Defs imports Main begin datatype laoe = Wrosh | kaWum laoe fun wrotz where "wrotz (kaWum m) n = kaWum (wrotz m n)" | "wrotz Wrosh n = n" fun wrush where "wrush (kaWum m) n = wrotz n (wrush m n)" | "wrush Wrosh n = Wrosh" end
theory Submission
imports Defs
begin
theorem wrotz_wrush_crazy2: "wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe)"
oops
theorem wrotz_wrush_notcrazy2: "~(\<forall>k m n. wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe))"
oops
end
theory Check
imports Submission
begin
theorem "wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe)"
by (rule Submission.wrotz_wrush_crazy2)
theorem "~(\<forall>k m n. wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe))"
by (rule Submission.wrotz_wrush_notcrazy2)
end
theory Defs imports Main begin datatype laoe = Wrosh | kaWum laoe fun wrotz where "wrotz (kaWum m) n = kaWum (wrotz m n)" | "wrotz Wrosh n = n" fun wrush where "wrush (kaWum m) n = wrotz n (wrush m n)" | "wrush Wrosh n = Wrosh" end
theory Submission
imports Defs
begin
theorem wrotz_wrush_crazy2: "wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe)"
oops
theorem wrotz_wrush_notcrazy2: "~(\<forall>k m n. wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe))"
oops
end
theory Check
imports Submission
begin
theorem "wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe)"
by (rule Submission.wrotz_wrush_crazy2)
theorem "~(\<forall>k m n. wrush k (wrotz m n) = wrotz (wrush k m) ((wrush k n)::laoe))"
by (rule Submission.wrotz_wrush_notcrazy2)
end