Theorems · Theorem · group theory
Equiv.Perm.Disjoint.support_mul
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {f g : Equiv.Perm α},
f.Disjoint g → (f * g).support = f.support ∪ g.support- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 58 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- le_antisymmproof · cited by 2,068
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement and proof · cited by 230
- not_and_orproof · cited by 82
- Equiv.Perm.Disjointstatement and proof · cited by 81
- not_imp_notproof · cited by 63
- Equiv.Perm.mem_supportproof · cited by 51
- Finset.mem_unionproof · cited by 49
- Equiv.Perm.mul_applyproof · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- Equiv.Perm.Disjoint.card_support_mulproof · cited by 4
- Equiv.Perm.Disjoint.isConj_mulproof · cited by 1
- Equiv.Perm.support_prod_of_pairwise_disjointproof · cited by 0
- Equiv.Perm.support_noncommProdproof · cited by 0