Theorems · Definition · order theory
abs
{α : Type u_1} → [Lattice α] → [AddGroup α] → α → αabs a, denoted |a|, is the absolute value of a
- Cited by
- 1,814 results in Mathlib
- Foundations
- Depth 12 from the axioms, rests on 63 definitions · uses propext
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by1,866
Results whose statement or proof uses this declaration.
- Real.logproof · cited by 939
- abs_of_nonnegstatement · cited by 279
- abs_nonnegstatement · cited by 168
- abs_of_posstatement · cited by 114
- le_abs_selfstatement · cited by 113
- Complex.norm_realproof · cited by 105
- abs_mulstatement · cited by 98
- abs_negstatement · cited by 93
- Real.norm_eq_absstatement · cited by 88
- abs_zerostatement · cited by 88
- abs_onestatement · cited by 87
- abs_lestatement · cited by 64
Showing the 200 most cited of 1,866.