mathlib3
a377993a - feat(geometry/euclidean): angles and some basic lemmas (#2865)

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5 years ago
feat(geometry/euclidean): angles and some basic lemmas (#2865) Define angles (undirected, between 0 and π, in terms of inner product), and prove some basic lemmas involving angles, for real inner product spaces and Euclidean affine spaces. From the 100-theorems list, this provides versions of * 04 Pythagorean Theorem, * 65 Isosceles Triangle Theorem and * 94 The Law of Cosines, with various existing definitions implicitly providing * 91 The Triangle Inequality.
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