AffineSubspace.pointwise_vadd_direction
∀ {k : Type u_2} {V : Type u_3} {P : Type u_4} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[inst_3 : AddTorsor V P] (v : V) (s : AffineSubspace k P), (v +ᵥ s).direction = s.direction- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- HVAdd.hVAddstatement · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- AffineSubspace.directionstatement and proof · cited by 339
- AffineEquiv.toAffineMapproof · cited by 65
- AffineEquiv.constVAddproof · cited by 30
- Submodule.map_idproof · cited by 14
- AffineSubspace.map_directionproof · cited by 9
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