Theorems · Theorem · group theory
Set.mulIndicator_sdiff
∀ {α : Type u_1} {G : Type u_6} [inst : Group G] {s t : Set α},
s ⊆ t → ∀ (f : α → G), (t \ s).mulIndicator f = t.mulIndicator f * (s.mulIndicator f)⁻¹- Defined in
- Mathlib.Algebra.Group.Indicator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Groupstatement and proof · cited by 6,238
- Set.mulIndicatorstatement and proof · cited by 163
- Set.sdiff_union_selfproof · cited by 30
- Set.union_eq_self_of_subset_rightproof · cited by 25
- disjoint_sdiff_self_leftproof · cited by 21
- eq_mul_inv_of_mul_eqproof · cited by 7
- Pi.mul_defproof · cited by 5
- Set.mulIndicator_union_of_disjointproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Set.mulIndicator_sdiff'proof · cited by 1
- Set.mulIndicator_diffproof · cited by 0