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Theorems · Theorem · group theory

Finset.singleton_mul_inter

∀ {α : Type u_2} [inst : Mul α] [IsLeftCancelMul 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
MulIsLeftCancelMulDecidableEq
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Around this declaration

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

Finset.pluennecke_petridis_inequality_mul · cited by 1Finset.pluennecke_petridi…Finset · cited by 13712FinsetFinset.mul · cited by 155Finset.mulIsLeftCancelMul · cited by 51IsLeftCancelMulmul_right_injective · cited by 15mul_right_injectiveFinset.image₂_singleton_inter · cited by 2Finset.image₂_singleton_i…Finset.singleton_mul_interCITED BYCITES

Cites5

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Cited by1

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