[Merged by Bors] - feat(linear_algebra/affine_space/affine_subspace): affine_span_pair inequality lemmas
#17636
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… inequality lemmas Add some lemmas giving conditions for the affine span of two points to be contained in an affine subspace (in particular, the span of another two points, one point the same between the pairs), in terms of individual points lying in that subspace. These are easy consequences of existing lemmas, but convenient when working with spans of two points.
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Add some basic lemmas about betweenness in a ring as an affine space over itself. --- There is certainly plenty of scope for more lemmas in this area, but the ones here are sufficient for what I want to do with them. (That next step - relating betweenness and affine combinations - also depends on #17601, #17636, #17659 and #17660.)
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… inequality lemmas (#17636) Add some lemmas giving conditions for the affine span of two points to be contained in an affine subspace (in particular, the span of another two points, one point the same between the pairs), in terms of individual points lying in that subspace. These are easy consequences of existing lemmas, but convenient when working with spans of two points.
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Add some lemmas giving conditions for the affine span of two points to be contained in an affine subspace (in particular, the span of another two points, one point the same between the pairs), in terms of individual points lying in that subspace. These are easy consequences of existing lemmas, but convenient when working with spans of two points.