Mathlib Map

Theorems · Definition · order theory

abs

{α : Type u_1} → [Lattice α] → [AddGroup α] → α → α

abs a, denoted |a|, is the absolute value of a

Defined in
Mathlib.Algebra.Order.Group.Unbundled.Abs
Cited by
1,814 results in Mathlib
Foundations
Depth 12 from the axioms, rests on 63 definitions · uses propext
Assumes
LatticeAddGroup

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Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • AddGroupstatement and proof · cited by 4,410
  • Latticestatement and proof · cited by 916

Cited by1,866

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 1,866.