Theorems · Theorem · commutative algebra
Fin.accumulate_rec
∀ {i n m : ℕ} (hin : i < n) (him : i + 1 < m) (t : Fin n → ℕ),
(Fin.accumulate n m) t ⟨i, ⋯⟩ = t ⟨i, hin⟩ + (Fin.accumulate n m) t ⟨i + 1, him⟩- Cited by
- 2 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- AddMonoidHomstatement · cited by 3,230
- Finset.sum_congrproof · cited by 2,323
- le_rflproof · cited by 1,558
- Finset.filterproof · cited by 949
- Finset.extproof · cited by 565
- Finset.eraseproof · cited by 455
- Finset.mem_univproof · cited by 361
- Finset.mem_filterproof · cited by 185
- Finset.filter_congrproof · cited by 167
Cited by2
Results whose statement or proof uses this declaration.
- Fin.accumulate_injectiveproof · cited by 1
- Fin.accumulate_invAccumulateproof · cited by 1