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Theorems · Theorem · group theory

Finset.card_add_singleton

∀ {α : Type u_2} [inst : Add α] [IsRightCancelAdd α] [inst_2 : DecidableEq α] (s : Finset α) (a : α),
  (s + {a}).card = s.card
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
AddIsRightCancelAddDecidableEq
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Around this declaration

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

cauchy_davenport_add_of_linearOrder_isCancelAdd · cited by 0cauchy_davenport_add_of_l…Finset · cited by 13712FinsetFinset.card · cited by 2327Finset.cardFinset.add · cited by 133Finset.addIsRightCancelAdd · cited by 69IsRightCancelAddadd_left_injective · cited by 49add_left_injectiveFinset.card_image₂_singleton_right · cited by 2Finset.card_image₂_single…Finset.card_add_singletonCITED BYCITES

Cites6

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Cited by1

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