Projectivization.Subspace.span_univ
∀ {K : Type u_1} {V : Type u_2} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V],
Projectivization.Subspace.span Set.univ = ⊤The span of the entire projective space is the top of the lattice of subspaces.
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- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement and proof · cited by 9,680
- Set.univstatement and proof · cited by 3,945
- DivisionRingstatement and proof · cited by 1,062
- Set.mem_univproof · cited by 416
- eq_top_iffproof · cited by 236
- Projectivizationstatement and proof · cited by 111
- SetLike.le_defproof · cited by 76
- Projectivization.Subspacestatement · cited by 34
- Projectivization.Subspace.spanstatement · cited by 16
- Projectivization.Subspace.subset_spanproof · cited by 2
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