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Theorems · Theorem · order theory

Set.inter_insert_of_mem

∀ {α : Type u_1} {s t : Set α} {a : α}, a ∈ s → s ∩ insert a t = insert a (s ∩ t)
Defined in
Mathlib.Data.Set.Insert
Cited by
5 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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codiscreteWithin_iff_locallyFiniteComplementWithin · cited by 3codiscreteWithin_iff_loca…Order.Icc_succ_right · cited by 0Order.Icc_succ_rightOrder.Ioc_succ_right · cited by 0Order.Ioc_succ_rightOrder.Icc_pred_left · cited by 0Order.Icc_pred_leftOrder.Ico_pred_left · cited by 0Order.Ico_pred_leftSet · cited by 53352SetSet.inter_insert_of_memCITED 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 by5

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