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Theorems · Theorem · geometry

Projectivization.finite_iff_of_finite

∀ (k : Type u_1) (V : Type u_2) [inst : DivisionRing k] [inst_1 : AddCommGroup V] [inst_2 : Module k V] [Finite k],
  Finite (Projectivization k V) ↔ Finite V
Defined in
Mathlib.LinearAlgebra.Projectivization.Cardinality
Cited by
2 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingAddCommGroupModuleFinite
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Projectivization.card · cited by 3Projectivization.cardProjectivization.card_of_finrank · cited by 1Projectivization.card_of_…Module · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmFinite · cited by 3029FiniteUnits · cited by 2804UnitsDivisionRing · cited by 1062DivisionRingProjectivization · cited by 111ProjectivizationSubtype.coe_eta · cited by 110Subtype.coe_etaFinite.of_equiv · cited by 20Finite.of_equivProjectivization.nonZeroEquivProjectivizationProdUnits · cited by 2Projectivization.nonZeroE…Projectivization.finite_iff_o…CITED BYCITES

Cites11

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Cited by2

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