Mathlib Map

Theorems · Theorem

EquivLike.left_inv

∀ {E : Sort u_1} {α : outParam (Sort u_2)} {β : outParam (Sort u_3)} [self : EquivLike E α β] (e : E),
  Function.LeftInverse (EquivLike.inv e) (EquivLike.coe e)

The coercions are left inverses.

Defined in
Mathlib.Data.FunLike.Equiv
Cited by
6 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
EquivLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

EquivLike.toEquiv · cited by 125EquivLike.toEquivFirstOrder.Language.StrongHomClass.toEquiv · cited by 4StrongHomClass.toEquivEquivLike.inv_apply_apply · cited by 3EquivLike.inv_apply_applyStarMulEquiv.ofClass · cited by 2StarMulEquiv.ofClassSummable.map_iff_of_equiv · cited by 2Summable.map_iff_of_equivAlgEquiv.coe_coe_symm_apply_coe_apply · cited by 1AlgEquiv.coe_coe_symm_app…EquivLike.inv_apply_eq · cited by 0EquivLike.inv_apply_eqEquivLike.inv_injective · cited by 0EquivLike.inv_injectiveMultipliable.map_iff_of_equiv · cited by 0Multipliable.map_iff_of_e…EquivLike · cited by 165EquivLikeEquivLike.inv · cited by 42EquivLike.invEquivLike.coe · cited by 6EquivLike.coeEquivLike.left_invCITED BYCITES

Cites3

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

Cited by9

Results whose statement or proof uses this declaration.