Theorems · Theorem · group theory
Equiv.Perm.Disjoint.card_support_mul
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {f g : Equiv.Perm α},
f.Disjoint g → (f * g).support.card = f.support.card + g.support.card- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 69 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.
- DFunLike.coeproof · cited by 62,936
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Finset.cardstatement and proof · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- Finset.extproof · cited by 565
- Equiv.Perm.supportstatement and proof · cited by 230
- Equiv.Perm.Disjointstatement and proof · cited by 81
- Finset.card_union_of_disjointproof · cited by 37
- Equiv.Perm.Disjoint.disjoint_supportproof · cited by 4
- Equiv.Perm.Disjoint.support_mulproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Equiv.Perm.sum_cycleTypeproof · cited by 14
- Equiv.Perm.cycleType_of_card_le_mem_cycleType_add_twoproof · cited by 0
- Equiv.Perm.card_support_prod_list_of_pairwise_disjointproof · cited by 0
- Equiv.Perm.isThreeCycle_sq_of_three_mem_cycleType_fiveproof · cited by 0