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Theorems · Theorem · order theory

Set.insert_sdiff_eq_singleton

∀ {α : Type u_1} {a : α} {s : Set α}, a ∉ s → insert a s \ s = {a}
Defined in
Mathlib.Data.Set.Insert
Cited by
3 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
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IsCyclotomicExtension.singleton_one_of_bot_eq_top · cited by 1IsCyclotomicExtension.sin…Set.insert_diff_eq_singleton · cited by 0Set.insert_diff_eq_single…sSupIndep_pair · cited by 0sSupIndep_pairSet · cited by 53352SetSet.insert_sdiff_eq_singletonCITED BYCITES

Cites1

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

Cited by3

Results whose statement or proof uses this declaration.