Theorems · Definition · geometry
Projectivization.Subspace.gi
{K : Type u_1} →
{V : Type u_2} →
[inst : DivisionRing K] →
[inst_1 : AddCommGroup V] → [inst_2 : Module K V] → GaloisInsertion Projectivization.Subspace.span SetLike.coeThe span of a set of points is a Galois insertion between sets of points of a projective space and subspaces of the projective space.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 82 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.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coestatement and proof · cited by 8,199
- DivisionRingstatement and proof · cited by 1,062
- Projectivizationstatement and proof · cited by 111
- GaloisInsertionstatement · cited by 35
- Projectivization.Subspacestatement · cited by 34
- Projectivization.Subspace.spanstatement and proof · cited by 16
Cited by7
Results whose statement or proof uses this declaration.
- Projectivization.Subspace.span_le_subspace_iffproof · cited by 2
- Projectivization.Subspace.span_unionproof · cited by 2
- Projectivization.Subspace.span_coeproof · cited by 2
- Projectivization.Subspace.monotone_spanproof · cited by 1
- Projectivization.Subspace.subset_span_transproof · cited by 0
- Projectivization.Subspace.span_emptyproof · cited by 0
- Projectivization.Subspace.span_iUnionproof · cited by 0