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Proving lemmas in synthetic geometry is often a time-consuming endeavoursince many intermediate lemmas need to be proven before interesting results canbe obtained. Improvements in automated theorem provers (ATP) in recent yearsnow mean they can prove many of these intermediate lemmas. The interactivetheorem prover Elfe accepts mathematical texts written in fair English andverifies them with the help of ATP. Geometrical texts can thereby easily beformalized in Elfe, leaving only the cornerstones of a proof to be derived bythe user. This allows for teaching axiomatic geometry to students without priorexperience in formalized mathematics.

Towards Intuitive Reasoning in Axiomatic Geometry