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Theorems · Theorem · order theory

Fin.map_castLEEmb_Iic

∀ {n m : ℕ} (a : Fin n) (h : n ≤ m), Finset.map (Fin.castLEEmb h) (Finset.Iic a) = Finset.Iic (Fin.castLE h a)
Defined in
Mathlib.Order.Interval.Finset.Fin
Cited by
2 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Fin.map_castAddEmb_Iic · cited by 2Fin.map_castAddEmb_IicFin.sum_Iic_castLE · cited by 0Fin.sum_Iic_castLEFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeSet.image · cited by 5609Set.imageSet.Iic · cited by 1111Set.IicFinset.map · cited by 747Finset.mapSet.image_congr · cited by 533Set.image_congrFinset.Iic · cited by 280Finset.IicFinset.coe_map · cited by 114Finset.coe_mapFinset.coe_Iic · cited by 36Finset.coe_IicFin.castLEEmb · cited by 34Fin.castLEEmbFin.castLEEmb_apply · cited by 22Fin.castLEEmb_applyFin.image_castLE_Iic · cited by 3Fin.image_castLE_IicFin.map_castLEEmb_IicCITED BYCITES

Cites12

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Cited by2

Results whose statement or proof uses this declaration.