AffineSubspace.mem_top
∀ (k : Type u_1) (V : Type u_2) {P : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[S : AddTorsor V P] (p : P), p ∈ ⊤All points are in ⊤.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 9,680
- Ringstatement and proof · cited by 7,463
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement · cited by 871
- Set.mem_univproof · cited by 416
Cited by10
Results whose statement or proof uses this declaration.
- AffineSubspace.direction_topproof · cited by 11
- AffineBasis.sum_coord_apply_eq_oneproof · cited by 4
- AffineBasis.affineCombination_coord_eq_selfproof · cited by 3
- Affine.Triangle.eq_excenter_of_two_zsmul_oangle_eqproof · cited by 3
- ZSpan.fundamentalDomain_ae_parallelepipedproof · cited by 2
- affineSpan_singleton_union_vadd_eq_top_of_span_eq_topproof · cited by 1
- AffineBasis.convexHull_eq_nonneg_coordproof · cited by 1
- AffineSubspace.affineSpan_eq_top_iff_vectorSpan_eq_top_of_nonemptyproof · cited by 1
- EuclideanGeometry.eq_of_dist_eq_of_dist_eq_of_finrank_eq_twoproof · cited by 1