Theorems · Theorem · order theory
abs_unit_intCast
∀ {α : Type u_1} [inst : CommRing α] [inst_1 : LinearOrder α] [IsOrderedRing α] (a : ℤˣ), |↑↑a| = 1- Defined in
- Mathlib.Algebra.Order.Ring.Abs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- LinearOrderstatement and proof · cited by 8,572
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- absstatement and proof · cited by 1,814
- IsOrderedRingstatement and proof · cited by 777
- Int.cast_oneproof · cited by 371
- Int.cast_negproof · cited by 224
- abs_negproof · cited by 93
- abs_oneproof · cited by 87
- Int.units_eq_one_orproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.abs_det_submatrix_equiv_equivproof · cited by 1