Theorems · Theorem · number theory
Int.mul_eq_one_iff_eq_one_or_neg_one
∀ {u v : ℤ}, u * v = 1 ↔ u = 1 ∧ v = 1 ∨ u = -1 ∧ v = -1- Defined in
- Mathlib.Algebra.Group.Int.Units
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Int.eq_one_or_neg_one_of_mul_eq_one'proof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- AddSubgroup.zmultiples_eq_zmultiples_iffproof · cited by 3
- FixedDetMatrices.reps_one_idproof · cited by 1
- Subgroup.zpowers_eq_zpowers_iffproof · cited by 1
- AddSubgroup.isLeast_of_closure_iff_eq_absproof · cited by 0
- Subgroup.isLeast_of_closure_iff_eq_mabsproof · cited by 0
- RootPairing.Base.eq_one_or_neg_one_of_mem_support_of_smul_memproof · cited by 0