Pictures can be directly used in formal proofs. See [1] for instance So, the problem is not in principle, but rather, pictures and more direct syntax has not ye

Pictures can be directly used in formal proofs. See [1] for instance So, the problem is not in principle, but rather, pictures and more direct syntax has not yet been integrated into current proof systems. When that is done, proofs will be much more natural and the formal proof will be closer to the 'proof in the mind'. [1] https://www.unco.edu/nhs/mathematical-sciences/faculty/miller/pdf/thesis.pdf https://www.unco.edu/nhs/mathematical-sciences/faculty/mille...