[Merged by Bors] - feat(algebra/ordered_ring): abs_cases lemma #8124
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AlexKontorovich
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This lemma makes the following type of argument work seamlessly: ```lean example (h : x<-1/2) : |x + 1| < |x| := by cases abs_cases (x + 1); cases abs_cases x; linarith ```
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This lemma makes the following type of argument work seamlessly: ```lean example (h : x<-1/2) : |x + 1| < |x| := by cases abs_cases (x + 1); cases abs_cases x; linarith ```
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These lemmata make the following type of argument work seamlessly: ```lean example (h1 : 0 ≤ x) (h2 : x ≤ 1) : min 1 x ≤ max x 0 := by cases min_cases 1 x; cases max_cases x 0; linarith ``` See similar PR #8124
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This lemma makes the following type of argument work seamlessly: