Theorems · Theorem · difference equations
fwdDiff_iter_choose_zero
∀ (m n : ℕ), (fwdDiff 1)^[n] (fun x => ↑(x.choose m)) 0 = if n = m then 1 else 0
- Defined in
- Mathlib.Algebra.Group.ForwardDiff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Finset.sum_congrproof · cited by 2,323
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- Finset.rangeproof · cited by 1,341
- LT.lt.neproof · cited by 872
- add_assocproof · cited by 746
- Nat.iteratestatement and proof · cited by 740
- smul_zeroproof · cited by 665
- Nat.choosestatement and proof · cited by 494
- Finset.sum_const_zeroproof · cited by 219
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.fwdDiff_mahlerSeriesproof · cited by 0