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Theorems · Theorem · geometry

Projectivization.Subspace.span_coe

∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  (W : Projectivization.Subspace K V), Projectivization.Subspace.span ↑W = W

The span of a subspace is the subspace.

Defined in
Mathlib.LinearAlgebra.Projectivization.Subspace
Cited by
2 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingAddCommGroupModule
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Projectivization.Subspace.sup_span · cited by 0Subspace.sup_spanProjectivization.Subspace.span_sup · cited by 0Subspace.span_supModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupSetLike.coe · cited by 8199SetLike.coeDivisionRing · cited by 1062DivisionRingProjectivization · cited by 111ProjectivizationGaloisInsertion.l_u_eq · cited by 37GaloisInsertion.l_u_eqProjectivization.Subspace · cited by 34Projectivization.SubspaceProjectivization.Subspace.span · cited by 16Subspace.spanProjectivization.Subspace.gi · cited by 7Subspace.giSubspace.span_coeCITED BYCITES

Cites9

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Cited by2

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