Theorems · Theorem · logic and foundations
Cardinal.mk_neg
∀ {G : Type u_1} [inst : InvolutiveNeg G] (s : Set G), Cardinal.mk ↑(-s) = Cardinal.mk ↑s- Defined in
- Mathlib.Algebra.Group.Pointwise.Set.Card
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 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.
Cites10
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 and proof · cited by 7,166
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Function.Injective.injOnproof · cited by 280
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- Set.image_neg_eq_negproof · cited by 52
- neg_injectiveproof · cited by 35
- Cardinal.mk_image_eq_of_injOnproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Set.encard_negproof · cited by 1