AffineSubspace.coe_eq_univ_iff
∀ {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] (Q : AffineSubspace k P), ↑Q = Set.univ ↔ Q = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement · cited by 9,680
- SetLike.coestatement · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Set.univstatement · cited by 3,945
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- AffineSubspace.coe_injectiveproof · cited by 7
- AffineSubspace.top_coeproof · cited by 4
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