Theorems · Theorem · order theory
PNat.map_subtype_embedding_Icc
∀ (a b : ℕ+), Finset.map (Function.Embedding.subtype fun n => 0 < n) (Finset.Icc a b) = Finset.Icc ↑a ↑b
- Defined in
- Mathlib.Data.PNat.Interval
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.mapstatement · cited by 747
- LT.lt.trans_leproof · cited by 678
- PNatstatement and proof · cited by 392
- Finset.Iccstatement · cited by 348
- PNat.valstatement · cited by 226
- Function.Embedding.subtypestatement · cited by 128
- Finset.map_subtype_embedding_Iccproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- PNat.card_Iccproof · cited by 1
- PNat.map_subtype_embedding_uIccproof · cited by 1