Theorems · Theorem · combinatorics
Finset.range_add
∀ (a b : ℕ), Finset.range (a + b) = Finset.range a ∪ Finset.map (addLeftEmbedding a) (Finset.range b)
- Defined in
- Mathlib.Algebra.Group.Nat.Range
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Multisetproof · cited by 2,627
- Finset.rangestatement and proof · cited by 1,341
- Finset.mapstatement and proof · cited by 747
- Finset.valproof · cited by 438
- addLeftEmbeddingstatement and proof · cited by 36
- Finset.val_injproof · cited by 9
- Finset.union_valproof · cited by 7
- Multiset.range_add_eq_unionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- mem_adjoin_of_smul_prime_smul_of_minpoly_isEisensteinAtproof · cited by 1