Theorems · Theorem · group theory
Equiv.Perm.support_mul_le
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] (f g : Equiv.Perm α),
(f * g).support ⊆ f.support ⊔ g.support- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 6 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.
Cites10
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
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement and proof · cited by 230
- not_and_orproof · cited by 82
- 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 by6
Results whose statement or proof uses this declaration.
- Equiv.Perm.Disjoint.support_mulproof · cited by 4
- Equiv.Perm.isThreeCycle_swap_mul_swap_sameproof · cited by 2
- Equiv.Perm.mem_support_of_mem_noncommProd_supportproof · cited by 1
- Equiv.Perm.support_closure_subset_unionproof · cited by 1
- Equiv.Perm.support_swap_mul_swapproof · cited by 0
- Equiv.Perm.support_prod_leproof · cited by 0