Theorems · Definition · number theory
Finset.mulETransformLeft
{α : Type u_1} → [DecidableEq α] → [Group α] → α → Finset α × Finset α → Finset α × Finset αAn e-transform. Turns (s, t) into (s ∩ s • e, t ∪ e⁻¹ • t). This reduces the
product of the two sets.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Groupstatement and proof · cited by 6,238
- MulOpposite.opproof · cited by 520
Cited by10
Results whose statement or proof uses this declaration.
- Finset.MulETransform.cardstatement and proof · cited by 1
- Finset.mulETransformLeft.cardstatement · cited by 1
- Finset.mulETransformLeft.fst_mul_snd_subsetstatement · cited by 1
- Finset.mulETransformRight.cardstatement · cited by 1
- cauchy_davenport_minOrder_mulproof · cited by 1
- Finset.mulETransformLeft_fststatement and proof · cited by 0
- Finset.mulETransformLeft_invstatement · cited by 0
- Finset.mulETransformLeft_onestatement · cited by 0
- Finset.mulETransformLeft_sndstatement and proof · cited by 0
- Finset.mulETransformRight_invstatement · cited by 0