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Theorems · Theorem · group theory

Finset.card_singleton_mul

∀ {α : Type u_2} [inst : Mul α] [IsLeftCancelMul α] [inst_2 : DecidableEq α] (a : α) (t : Finset α),
  ({a} * t).card = t.card
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
3 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MulIsLeftCancelMulDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

cauchy_davenport_minOrder_mul · cited by 1cauchy_davenport_minOrder…Finset.pluennecke_petridis_inequality_mul · cited by 1Finset.pluennecke_petridi…cauchy_davenport_mul_of_linearOrder_isCancelMul · cited by 0cauchy_davenport_mul_of_l…Finset · cited by 13712FinsetFinset.card · cited by 2327Finset.cardFinset.mul · cited by 155Finset.mulIsLeftCancelMul · cited by 51IsLeftCancelMulmul_right_injective · cited by 15mul_right_injectiveFinset.card_image₂_singleton_left · cited by 2Finset.card_image₂_single…Finset.card_singleton_mulCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.