Theorems · Theorem · group theory
Finset.coe_vadd_finset
∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : VAdd α β] (a : α) (s : Finset β), ↑(a +ᵥ s) = a +ᵥ ↑s- Cited by
- 9 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqVAdd
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.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- Finset.coe_imageproof · cited by 222
- Finset.vaddFinsetstatement · cited by 70
Cited by9
Results whose statement or proof uses this declaration.
- AddAction.stabilizer_coe_finsetproof · cited by 4
- cauchy_davenport_minOrder_addproof · cited by 2
- Finset.card_vadd_inter_vaddproof · cited by 2
- Finset.pairwiseDisjoint_vadd_iffproof · cited by 1
- AddAction.mem_stabilizer_set_iff_subset_vadd_setproof · cited by 1
- Finset.subset_vadd_finset_iffproof · cited by 0
- Set.powersetCard.addAction_stabilizer_coeproof · cited by 0
- AddAction.mem_stabilizer_set_iff_vadd_set_subsetproof · cited by 0
- Finset.vadd_finset_subset_iffproof · cited by 0