Theorems · Theorem · order theory
Fin.map_finCongr_Icc
∀ {n m : ℕ} (h : n = m) (i j : Fin n),
Finset.map (finCongr h).toEmbedding (Finset.Icc i j) = Finset.Icc (Fin.cast h i) (Fin.cast h j)- Defined in
- Mathlib.Order.Interval.Finset.Fin
- Cited by
- 1 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Set.preimageproof · cited by 4,946
- Set.Iccproof · cited by 1,702
- Finset.mapstatement · cited by 747
- Set.image_congrproof · cited by 533
- Finset.Iccstatement and proof · cited by 348
- Equiv.toEmbeddingstatement and proof · cited by 254
- Finset.coe_mapproof · cited by 114
- finCongrstatement and proof · cited by 78
- Finset.coe_Iccproof · cited by 60
- finCongr_applyproof · cited by 47
Cited by1
Results whose statement or proof uses this declaration.
- Fin.sum_Icc_castproof · cited by 0