Theorems · Theorem · commutative algebra
card_units_lt
∀ (M₀ : Type u_1) [inst : MonoidWithZero M₀] [Nontrivial M₀] [inst_2 : Fintype M₀], Fintype.card M₀ˣ < Fintype.card M₀
- Defined in
- Mathlib.RingTheory.Fintype
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 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.
- Fintypestatement and proof · cited by 7,736
- Unitsstatement · cited by 2,804
- Nontrivialstatement and proof · cited by 2,416
- Units.valproof · cited by 1,966
- Fintype.cardstatement · cited by 1,386
- MonoidWithZerostatement and proof · cited by 456
- not_isUnit_zeroproof · cited by 20
- Units.val_injectiveproof · cited by 17
- Fintype.card_lt_of_injective_of_notMemproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- natCard_units_ltproof · cited by 1
- LucasLehmer.X.card_units_ltproof · cited by 1