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Theorems · Theorem · number theory

Behrend.card_box

∀ {n d : ℕ}, (Behrend.box n d).card = d ^ n
Defined in
Mathlib.Combinatorics.Additive.AP.Three.Behrend
Cited by
1 results in Mathlib
Foundations
Depth 67 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.

Behrend.exists_large_sphere_aux · cited by 1Behrend.exists_large_sphe…Finset.univ · cited by 3473Finset.univFinset.card · cited by 2327Finset.cardFinset.range · cited by 1341Finset.rangeFinset.prod_congr · cited by 646Finset.prod_congrFintype.card_fin · cited by 270Fintype.card_finFinset.prod_const · cited by 154Finset.prod_constFinset.card_range · cited by 108Finset.card_rangeBehrend.box · cited by 10Behrend.boxFintype.card_piFinset · cited by 10Fintype.card_piFinsetBehrend.card_boxCITED BYCITES

Cites9

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Cited by1

Results whose statement or proof uses this declaration.