Theorems · Theorem · group theory
Subgroup.transferTransversal_apply
∀ {G : Type u_1} [inst : Group G] {H : Subgroup G} (g : G) (q : G ⧸ H),
↑(⋯.leftQuotientEquiv q) = H.transferFunction g q- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Equivstatement · cited by 8,337
- SetLike.coestatement · cited by 8,199
- Set.Elemstatement · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Subgroup.IsComplementstatement · cited by 94
- Subgroup.IsComplement.leftQuotientEquivstatement · cited by 17
- Subgroup.transferFunctionstatement · cited by 4
- Subgroup.transferTransversalstatement · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Subgroup.transferTransversal_apply'proof · cited by 1
- Subgroup.transferTransversal_apply''proof · cited by 1