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Theorems · Theorem · group theory

Finset.singleton_add_inter

∀ {α : Type u_2} [inst : Add α] [IsLeftCancelAdd α] [inst_2 : DecidableEq α] (a : α) (s t : Finset α),
  {a} + s ∩ t = ({a} + s) ∩ ({a} + t)
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddIsLeftCancelAddDecidableEq
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.pluennecke_petridis_inequality_add · cited by 1Finset.pluennecke_petridi…Finset · cited by 13712FinsetFinset.add · cited by 133Finset.addIsLeftCancelAdd · cited by 72IsLeftCancelAddadd_right_injective · cited by 36add_right_injectiveFinset.image₂_singleton_inter · cited by 2Finset.image₂_singleton_i…Finset.singleton_add_interCITED BYCITES

Cites5

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Cited by1

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