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Theorems · Theorem · group theory

Set.inter_add_union_subset

∀ {α : Type u_2} [inst : AddCommSemigroup α] {s t : Set α}, s ∩ t + (s ∪ t) ⊆ s + t
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
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0 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommSemigroup
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Set · cited by 53352Setadd_comm · cited by 1535add_commSet.add · cited by 338Set.addAddCommSemigroup · cited by 178AddCommSemigroupSet.image2_inter_union_subset · cited by 4Set.image2_inter_union_su…Set.inter_add_union_subsetCITED BYCITES

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