Mathlib Map

Theorems · Definition · group theory

AddEquiv.funUnique

(α : Type u_2) → (M : Type u_4) → [inst : Add M] → [Unique α] → (α → M) ≃+ M

If α has a unique term, then the product of magmas α → M is isomorphic to M.

Defined in
Mathlib.Algebra.Group.Equiv.Basic
Cited by
5 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
AddUnique
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LinearEquiv.funUnique · cited by 7LinearEquiv.funUniqueAddEquiv.funUnique_symm_apply · cited by 2AddEquiv.funUnique_symm_a…LinearEquiv.funUnique_symm_apply · cited by 2LinearEquiv.funUnique_sym…AddEquiv.funUnique_apply · cited by 0AddEquiv.funUnique_applygroupCohomology.δ₀_apply · cited by 0groupCohomology.δ₀_applyRep.tateNorm_eq · cited by 0Rep.tateNorm_eqEquiv · cited by 8337EquivAddEquiv · cited by 1087AddEquivUnique · cited by 400UniqueEquiv.funUnique · cited by 22Equiv.funUniqueAddEquiv.funUniqueCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.