Theorems · Theorem · group theory
Equiv.Perm.mul_mem_alternatingGroup_of_isSwap
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {g g' : Equiv.Perm α},
g.IsSwap → g'.IsSwap → g * g' ∈ alternatingGroup α- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
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.
- Fintypestatement and proof · cited by 7,736
- mul_oneproof · cited by 3,885
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- map_mulproof · cited by 1,137
- neg_negproof · cited by 960
- mul_negproof · cited by 590
- Equiv.Perm.signproof · cited by 138
- alternatingGroupstatement · cited by 96
- Equiv.Perm.IsSwapstatement and proof · cited by 35
- Equiv.Perm.IsSwap.sign_eqproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.