Theorems · Theorem · number theory
Int.units_natAbs
∀ (u : ℤˣ), (↑u).natAbs = 1
- Defined in
- Mathlib.Algebra.Group.Int.Units
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Units.mul_invproof · cited by 67
- Units.inv_mulproof · cited by 46
- Units.ext_iffproof · cited by 29
- Nat.units_eq_oneproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Int.natAbs_of_isUnitproof · cited by 11
- Int.abs_negOnePowproof · cited by 1
- Equiv.Perm.sign_absproof · cited by 1