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Commit 2022-12-07 12:47 e99e8c89

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feat(analysis/inner_product_space): promote implications to iffs (#17727)

Estimated changes

Modified src/analysis/inner_product_space/basic.lean

deleted theorem inner_left_of_mem_orthogonal_singleton

deleted theorem inner_right_of_mem_orthogonal_singleton

deleted theorem mem_orthogonal_singleton_of_inner_left

deleted theorem mem_orthogonal_singleton_of_inner_right

added theorem submodule.mem_orthogonal_singleton_iff_inner_left

added theorem submodule.mem_orthogonal_singleton_iff_inner_right

Modified src/analysis/inner_product_space/gram_schmidt_ortho.lean

Modified src/analysis/inner_product_space/projection.lean

Modified src/analysis/inner_product_space/two_dim.lean

Modified src/geometry/manifold/instances/sphere.lean