Theorems · Theorem · order theory
Finset.compl_empty
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α], ∅ᶜ = Finset.univ- Defined in
- Mathlib.Data.Finset.BooleanAlgebra
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement · cited by 3,473
- Compl.complstatement · cited by 2,925
- compl_botproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- Finset.insert_compl_selfproof · cited by 3
- Affine.Simplex.exsphere_univproof · cited by 2
- Affine.Simplex.ExcenterExists.excenter_eq_incenter_iffproof · cited by 1
- MeasureTheory.lintegral_mul_prod_lintegral_pow_leproof · cited by 1
- AddDissociated.randomisationproof · cited by 0