AffineSubspace.map_iSup
∀ {k : Type u_1} {V₁ : Type u_2} {P₁ : Type u_3} {V₂ : Type u_4} {P₂ : Type u_5} [inst : Ring k]
[inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁] [inst_3 : AddTorsor V₁ P₁] [inst_4 : AddCommGroup V₂]
[inst_5 : Module k V₂] [inst_6 : AddTorsor V₂ P₂] {ι : Sort u_8} (f : P₁ →ᵃ[k] P₂) (s : ι → AffineSubspace k P₁),
AffineSubspace.map f (iSup s) = ⨆ i, AffineSubspace.map f (s i)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 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.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- iSupstatement · cited by 2,415
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- AffineMapstatement and proof · cited by 674
- AffineSubspace.mapstatement · cited by 78
- GaloisConnection.l_iSupproof · cited by 78
- AffineSubspace.gc_map_comapproof · cited by 6
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