Projectivization.Subspace.monotone_span
∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V],
Monotone Projectivization.Subspace.spanIf a set of points is a subset of another set of points, then its span will be contained in the span of that set.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Monotonestatement · cited by 1,397
- DivisionRingstatement and proof · cited by 1,062
- GaloisInsertion.gcproof · cited by 137
- Projectivizationstatement · cited by 111
- GaloisConnection.monotone_lproof · cited by 76
- Projectivization.Subspacestatement · cited by 34
- Projectivization.Subspace.spanstatement · cited by 16
- Projectivization.Subspace.giproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Projectivization.Subspace.span_le_spanproof · cited by 0