Theorems · Theorem · logic and foundations
Set.natCard_neg
∀ {G : Type u_1} [inst : InvolutiveNeg G] (s : Set G), Nat.card ↑(-s) = Nat.card ↑s- Defined in
- Mathlib.Algebra.Group.Pointwise.Set.Card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- InvolutiveNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Nat.cardstatement · cited by 844
- Set.ncardproof · cited by 344
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- Set.ncard_negproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Set.natCard_sub_leproof · cited by 0