Theorems · Definition · group theory
Equiv.vaddConst
{G : Type u_1} → {P : Type u_2} → [inst : AddGroup G] → [AddTorsor G P] → P → G ≃ Pv ↦ v +ᵥ p as an equivalence.
- Defined in
- Mathlib.Algebra.Torsor.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by12
Results whose statement or proof uses this declaration.
- Equiv.pointReflectionproof · cited by 35
- IsometryEquiv.vaddConstproof · cited by 14
- AffineEquiv.vaddConstproof · cited by 12
- Homeomorph.vaddConstproof · cited by 8
- AffineSpace.asymptoticNhds_vadd_pureproof · cited by 5
- AffineMap.linear_injective_iffproof · cited by 5
- AddTorsor.subsingleton_iffproof · cited by 4
- AffineMap.linear_surjective_iffproof · cited by 3
- AffineSpace.asymptoticNhds_zeroproof · cited by 1
- Equiv.coe_vaddConst_symmstatement · cited by 1
- exists_affineIndependentproof · cited by 1
- Equiv.coe_vaddConststatement · cited by 0