Param inv^inv : ι → (ι → ι) → ι → ι
Known inj_linv_coddep : ∀ x0 x1 . ∀ x2 : ι → ι . (∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ x2 x3 = x2 x4 ⟶ x3 = x4) ⟶ ∀ x3 . x3 ∈ x0 ⟶ inv x0 x2 (x2 x3) = x3
Theorem inj_linv^inj_linv : ∀ x0 . ∀ x1 : ι → ι . (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 = x1 x3 ⟶ x2 = x3) ⟶ ∀ x2 . x2 ∈ x0 ⟶ inv x0 x1 (x1 x2) = x2

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Proofgold Address