Theorems · Theorem · number theory
Rat.RingOfIntegers.isUnit_iff
∀ {x : NumberField.RingOfIntegers ℚ}, IsUnit x ↔ ↑x = 1 ∨ ↑x = -1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- IsUnitstatement · cited by 1,602
- RingHomClass.toRingHomproof · cited by 746
- NumberField.RingOfIntegersstatement and proof · cited by 413
- Subtype.coe_injectiveproof · cited by 205
- integralClosureproof · cited by 105
- NumberField.RingOfIntegers.valstatement and proof · cited by 74
- isUnit_map_iffproof · cited by 17
- Rat.ringOfIntegersEquivproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.isUnit_iff_normproof · cited by 1