feat(analysis/inner_product_space/basic) : `inner_map_self_eq_zero` (#12065)
The main result here is: If ⟪T x, x⟫_C = 0 for all x, then T = 0.
The proof uses a polarization identity. Note that this is false
with R in place of C. I am confident that my use of ring_nf is
not optimal, but I hope to learn from the cleanup process!
Co-authored-by: Daniel Packer
Co-authored-by: Hans Parshall <hparshall@users.noreply.github.com>