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7 changes: 1 addition & 6 deletions Mathlib/LinearAlgebra/TensorProduct/Quotient.lean
Original file line number Diff line number Diff line change
Expand Up @@ -133,12 +133,7 @@ noncomputable def tensorQuotientEquiv (n : Submodule R N) :
(M ⊗[R] N) ⧸ (LinearMap.range (map (LinearMap.id : M →ₗ[R] M) n.subtype)) :=
congr ((Submodule.quotEquivOfEqBot _ rfl).symm) (LinearEquiv.refl _ _) ≪≫ₗ
quotientTensorQuotientEquiv (⊥ : Submodule R M) n ≪≫ₗ
Submodule.Quotient.equiv _ _ (LinearEquiv.refl _ _) (by
simp only [Submodule.map_sup]
erw [Submodule.map_id, Submodule.map_id]
simp only [sup_eq_right]
rw [range_map_eq_span_tmul, range_map_eq_span_tmul]
simp)
Submodule.Quotient.equiv _ _ (LinearEquiv.refl _ _) (by simp [range_map_eq_span_tmul])

@[simp]
lemma tensorQuotientEquiv_apply_mk_tmul (n : Submodule R N) (x : M) (y : N) :
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