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Make two or three definitions slightly smoother using the new make_reflection' constructor
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-11
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Modules/Signatures/EpiSigRepresentability.v

Lines changed: 6 additions & 7 deletions
Original file line numberDiff line numberDiff line change
@@ -680,13 +680,12 @@ Proof.
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set (cond_F := fun R R_epi => inl ((Fepi R R_epi),, aepi) : cond_isEpi_hab R R_epi).
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apply left_adjoint_weq_reflections.
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intro R.
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use make_reflection.
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- use make_reflection_data.
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+ use (rep_of_b_in_R' R _ _ (cond_F R _ )).
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* apply epiall.
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* apply ii1.
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apply epiall.
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+ apply projR_rep.
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use make_reflection'.
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- use (rep_of_b_in_R' R _ _ (cond_F R _ )).
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+ apply epiall.
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+ apply ii1.
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apply epiall.
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- apply projR_rep.
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- apply u_rep_universal.
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Qed.
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Modules/SoftEquations/AdjunctionEquationRep.v

Lines changed: 4 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -138,10 +138,10 @@ Section QuotientRep.
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(SigR_epis : ∏ (R : model Sig) , preserves_Epi (Sig R))
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: is_right_adjoint (ModEq_Mod_functor eq)
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:= invmap (left_adjoint_weq_reflections _)
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(λ (R : REP_CAT), make_reflection
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(make_reflection_data (F := ModEq_Mod_functor eq)
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(R' (modepis R) (SigR_epis R))
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(projR_rep R (modepis R)(SigR_epis R )))
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(λ (R : REP_CAT), make_reflection'
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(F := ModEq_Mod_functor eq)
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(R' (modepis R) (SigR_epis R))
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(projR_rep R (modepis R)(SigR_epis R ))
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(u_rep_universal R (modepis R) (SigR_epis R))).
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