Paper IX · Lean source

InvalidQuotientEquality.lean

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shared_correction/controls/InvalidQuotientEquality.lean9 lines

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1 import SharedCorrectionControls
2 
3 open Komorebi.SharedCorrection Komorebi.SharedCorrectionControls
4 
5 -- EXPECTED FAILURE: the missing compatibility cannot be proved by reflexivity.
6 example : (Submodule.Quotient.mk (0 : Two) : Common identity identity) =
7     Submodule.Quotient.mk (1 : Two) := by
8   apply (quotient_mk_eq_iff_common identity identity 0 1).mpr
9   exact ⟨0, rfl, rfl⟩

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