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Commit 2021-09-29 14:22 9535c087

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feat(linear_algebra/affine_space/combination, analysis/convex/combination): basic lemmas about affine combinations, center of mass, centroid (#9103)

Estimated changes

Modified src/algebra/big_operators/basic.lean

modified theorem finset.prod_comp

modified theorem finset.sum_comp

Modified src/analysis/convex/combination.lean

added theorem affine_combination_eq_center_mass

added theorem finset.center_mass_id_mem_convex_hull

added theorem finset.centroid_eq_center_mass

added theorem finset.centroid_mem_convex_hull

Modified src/data/finset/basic.lean

added theorem finset.attach_image_coe

modified theorem finset.attach_image_val

Modified src/linear_algebra/affine_space/combination.lean

added theorem finset.affine_combination_eq_linear_combination

added theorem finset.attach_affine_combination_coe

added theorem finset.attach_affine_combination_of_injective

added theorem finset.centroid_univ