Theorems · Theorem · group theory

Fintype.piFinset_neg

∀ {ι : Type u_5} {α : ι → Type u_6} [inst : Fintype ι] [inst_1 : DecidableEq ι] [inst_2 : (i : ι) → DecidableEq (α i)]
  [inst_3 : (i : ι) → Neg (α i)] (s : (i : ι) → Finset (α i)), (Fintype.piFinset fun i => -s i) = -Fintype.piFinset s

Defined in: Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fintype DecidableEq DecidableEq Neg

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Finsetstatement and proof · cited by 13,712
Fintypestatement and proof · cited by 7,736
Fintype.piFinsetstatement · cited by 86
Finset.negstatement · cited by 63
Fintype.piFinset_imageproof · cited by 4

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