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Theorems · Theorem · group theory

Set.one_mem_sdiv_iff

∀ {G : Type u_1} {P : Type u_2} [inst : Group G] [T : Torsor G P] {s t : Set P}, 1 ∈ s /ₛ t ↔ ¬Disjoint s t
Defined in
Mathlib.Algebra.Torsor.Basic
Cited by
0 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupTorsor

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Cites5

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
  • Groupstatement and proof · cited by 6,238
  • Disjointstatement · cited by 2,201
  • SDiv.sdivstatement · cited by 79
  • Torsorstatement and proof · cited by 65

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