Mathlib Map

Theorems · Definition · combinatorics

Finset.finsuppAntidiag

{ι : Type u_1} →
  {μ : Type u_2} →
    [DecidableEq ι] →
      [inst : AddCommMonoid μ] → [Finset.HasAntidiagonal μ] → [DecidableEq μ] → Finset ι → μ → Finset (ι →₀ μ)

The finset of functions ι →₀ μ with support contained in s and sum equal to n.

Defined in
Mathlib.Algebra.Order.Antidiag.Finsupp
Cited by
25 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqAddCommMonoidFinset.HasAntidiagonalDecidableEq

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Nat.Partition.hasProd_genFun · cited by 4Partition.hasProd_genFunFinset.finsuppAntidiagEquiv · cited by 4Finset.finsuppAntidiagEqu…MvPowerSeries.coeff_prod · cited by 3MvPowerSeries.coeff_prodFinset.finsuppAntidiagEquivSubtype · cited by 2Finset.finsuppAntidiagEqu…Finset.mem_finsuppAntidiag · cited by 2Finset.mem_finsuppAntidiagMvPowerSeries.coeff_eq_zero_of_constantCoeff_nilpotent · cited by 2MvPowerSeries.coeff_eq_ze…PowerSeries.coeff_prod · cited by 2PowerSeries.coeff_prodFinset.mapRange_finsuppAntidiag_eq · cited by 1Finset.mapRange_finsuppAn…Finset.mapRange_finsuppAntidiag_subset · cited by 1Finset.mapRange_finsuppAn…Finset.finsuppAntidiagEquivSubtype_apply_coe · cited by 1Finset.finsuppAntidiagEqu…Finset.mem_finsuppAntidiag_insert · cited by 1Finset.mem_finsuppAntidia…MvPowerSeries.truncTotal_subst_eq_truncTotal_subst_truncTotal_of_le · cited by 1MvPowerSeries.truncTotal_…Finset.finsuppAntidiagEquivSubtype_symm_apply_coe · cited by 1Finset.finsuppAntidiagEqu…MvPowerSeries.coeff_pow · cited by 1MvPowerSeries.coeff_powNat.Partition.toFinsuppAntidiag_mem_finsuppAntidiag · cited by 1Partition.toFinsuppAntidi…Finset · cited by 13712FinsetAddCommMonoid · cited by 12281AddCommMonoidFinsupp · cited by 5255FinsuppFinset.filter · cited by 949Finset.filterFinset.map · cited by 747Finset.mapFinset.attach · cited by 168Finset.attachFinset.HasAntidiagonal · cited by 48Finset.HasAntidiagonalFinset.piAntidiag · cited by 19Finset.piAntidiagFinset.finsuppAntidiagCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by27

Results whose statement or proof uses this declaration.