49 lines
1.7 KiB
Text
49 lines
1.7 KiB
Text
class AddCommGroup (α : Type) extends Zero α where
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class Ring (α : Type) extends Zero α, AddCommGroup α
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class Module (R : Type) (M : Type) [Zero R] [Zero M] where
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instance (R : Type) [Zero R] : Module R R := ⟨⟩
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structure Submodule (R : Type) (M : Type) [Zero R] [Zero M] [Module R M] : Type where
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class HasQuotient (A : outParam <| Type) (B : Type) where
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quotient' : B → Type
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instance Submodule.hasQuotient {R : Type} {M : Type} [Ring R] [AddCommGroup M]
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[Module R M]: HasQuotient M (Submodule R M) := ⟨fun _ => M⟩
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def Synonym (M : Type) [Zero M] := M
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instance Synonym.zero {G : Type} [Zero G] : Zero (Synonym G) := ⟨(Zero.zero : G)⟩
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instance Synonym.addCommGroup {G : Type} [AddCommGroup G] : AddCommGroup (Synonym G) :=
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{ Synonym.zero with }
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instance Synonym.module (M : Type) {R : Type} [Zero R] [Zero M] [Module R M] :
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Module R (Synonym M) := { }
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variable (R : Type) [Ring R]
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set_option maxSynthPendingDepth 2 in
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/-- info: Submodule.hasQuotient -/
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#guard_msgs in
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#synth HasQuotient (Synonym (Synonym R)) (Submodule R (Synonym (Synonym R))) -- works
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/--
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info: [type_class] max synth pending failures (maxSynthPendingDepth: 1), use `set_option maxSynthPendingDepth <limit>`
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[type_class] AddCommGroup Ruse `set_option diagnostics.threshold <num>` to control threshold for reporting counters
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---
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error: failed to synthesize
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HasQuotient (Synonym (Synonym R)) (Submodule R (Synonym (Synonym R)))
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-/
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#guard_msgs in
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set_option diagnostics true in
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#synth HasQuotient (Synonym (Synonym R)) (Submodule R (Synonym (Synonym R))) -- fails
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set_option maxSynthPendingDepth 2 in
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/-- info: Submodule.hasQuotient -/
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#guard_msgs in
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#synth HasQuotient (Synonym (Synonym R)) (Submodule R (Synonym (Synonym R))) -- still works
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