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Theorems · Definition · group theory

Equiv.constVSub

{G : Type u_1} → {P : Type u_2} → [inst : AddGroup G] → [AddTorsor G P] → P → P ≃ G

p' ↦ p -ᵥ p' as an equivalence.

Defined in
Mathlib.Algebra.Torsor.Defs
Cited by
3 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext
Assumes
AddGroupAddTorsor
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Equiv.pointReflection · cited by 35Equiv.pointReflectionAffineEquiv.constVSub · cited by 8AffineEquiv.constVSubHomeomorph.constVSub · cited by 4Homeomorph.constVSubIsometryEquiv.constVSub · cited by 2IsometryEquiv.constVSubEquiv.pointReflection_vsub_left · cited by 2Equiv.pointReflection_vsu…Equiv.coe_constVSub · cited by 0Equiv.coe_constVSubEquiv.coe_constVSub_symm · cited by 0Equiv.coe_constVSub_symmEquiv · cited by 8337EquivAddGroup · cited by 4410AddGroupHVAdd.hVAdd · cited by 1820HVAdd.hVAddAddTorsor · cited by 1657AddTorsorVSub.vsub · cited by 817VSub.vsubEquiv.constVSubCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.