Theorems · Theorem · combinatorics
SzemerediRegularity.a_add_one_le_four_pow_parts_card
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {P : Finpartition Finset.univ},
Fintype.card α / P.parts.card - Fintype.card α / SzemerediRegularity.stepBound P.parts.card * 4 ^ P.parts.card + 1 ≤
4 ^ P.parts.card- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.cardstatement and proof · cited by 2,327
- Fintype.cardstatement and proof · cited by 1,386
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- add_le_add_iff_rightproof · cited by 47
- tsub_le_iff_leftproof · cited by 38
- one_le_pow₀proof · cited by 25
- SzemerediRegularity.stepBoundstatement · cited by 24
Cited by4
Results whose statement or proof uses this declaration.
- SzemerediRegularity.card_aux₂proof · cited by 2
- SzemerediRegularity.card_chunkproof · cited by 2
- SzemerediRegularity.card_incrementproof · cited by 2
- SzemerediRegularity.card_aux₁proof · cited by 2