Theorems · Theorem · group theory
Finset.card_vadd_finset
∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : AddGroup α] [inst_2 : AddAction α β] (a : α)
(s : Finset β), (a +ᵥ s).card = s.card- Cited by
- 10 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddGroupAddAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- AddGroupstatement and proof · cited by 4,410
- Finset.cardstatement · cited by 2,327
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Finset.vaddFinsetstatement · cited by 70
- Finset.card_image_of_injectiveproof · cited by 41
- AddAction.injectiveproof · cited by 24
Cited by10
Results whose statement or proof uses this declaration.
- AddAction.mem_stabilizer_finset_iff_subset_vadd_finsetproof · cited by 2
- cauchy_davenport_minOrder_addproof · cited by 2
- Finset.nsmul_ssubset_nsmul_succ_of_nsmul_ne_closureproof · cited by 1
- Finset.addETransformLeft.cardproof · cited by 1
- Finset.addETransformRight.cardproof · cited by 1
- AddAction.mem_stabilizer_finset_iff_vadd_finset_subsetproof · cited by 1
- Finset.univ_addConvolutionproof · cited by 0
- Finset.op_vadd_addConvolution_eq_addConvolution_vaddproof · cited by 0
- Finset.dens_vadd_finsetproof · cited by 0
- Finset.addDysonETransform.cardproof · cited by 0