Commit 2020-08-23 15:35 e2167558

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feat(linear_algebra/affine_space): more lemmas (#3918) Add some more affine space lemmas. In particular, this includes lemmas about the dimension of the span of a finite affinely independent family.

Estimated changes

Modified src/linear_algebra/affine_space/basic.lean

added theorem affine_subspace.direction_eq_top_iff_of_nonempty

Modified src/linear_algebra/affine_space/finite_dimensional.lean

added theorem affine_span_eq_top_of_affine_independent_of_card_eq_findim_add_one

added theorem findim_vector_span_of_affine_independent

added theorem vector_span_eq_top_of_affine_independent_of_card_eq_findim_add_one

Modified src/linear_algebra/affine_space/independent.lean

added theorem affine_independent_set_of_affine_independent

added theorem injective_of_affine_independent