Projectivization.Subspace.span_sup
∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
{S : Set (Projectivization K V)} {W : Projectivization.Subspace K V},
Projectivization.Subspace.span S ⊔ W = Projectivization.Subspace.span (S ∪ ↑W)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Projectivization.Subspacestatement and proof · cited by 34
- Projectivization.Subspace.spanstatement and proof · cited by 16
- Projectivization.Subspace.span_coeproof · cited by 2
- Projectivization.Subspace.span_unionproof · cited by 2
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