AffineSubspace.Parallel.vectorSpan_eq
∀ {k : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[inst_3 : AddTorsor V P] {s₁ s₂ : Set P},
(affineSpan k s₁).Parallel (affineSpan k s₂) → vectorSpan k s₁ = vectorSpan k s₂- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 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.
- Setstatement and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- AddTorsorstatement and proof · cited by 1,657
- affineSpanstatement and proof · cited by 417
- vectorSpanstatement · cited by 123
- AffineSubspace.Parallelstatement and proof · cited by 19
- AffineSubspace.Parallel.direction_eqproof · cited by 4
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