Theorems · Definition · combinatorics
notMemRangeEquiv
(k : ℕ) → { n // n ∉ Finset.range k } ≃ ℕEquivalence between the set of natural numbers which are ≥ k and ℕ, given by n → n - k.
- Defined in
- Mathlib.Data.Finset.Range
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Equivstatement · cited by 8,337
- Finset.rangestatement and proof · cited by 1,341
Cited by6
Results whose statement or proof uses this declaration.
- hasSum_nat_add_iffproof · cited by 6
- HasProd.prod_range_mulproof · cited by 3
- HasSum.sum_range_addproof · cited by 3
- coe_notMemRangeEquiv_symmstatement · cited by 2
- hasProd_nat_add_iffproof · cited by 1
- coe_notMemRangeEquivstatement · cited by 0