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Commit 2021-01-03 14:06 eb6d5f15

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feat(analysis/normed_space/basic): basic facts about the sphere (#5590) Basic lemmas about the sphere in a normed group or normed space.

Estimated changes

added theorem eq_zero_of_eq_neg
added theorem ne_neg_of_ne_zero
added theorem smul_nat_eq_zero
added theorem coe_neg_sphere
added theorem mem_sphere_iff_norm
added theorem ne_neg_of_mem_sphere
added theorem nonzero_of_mem_sphere
added theorem norm_eq_of_mem_sphere
added theorem metric.mem_sphere