CorrespondenceTheoremEvidence

forall (G : Sort succ u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (N : forall (x : G), Prop), forall (Hpred : forall (x : G), Prop), forall (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (n_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (h_args : @SubgroupLawArgs.{succ u} G one mul inv Hpred), forall (n_le_h : forall (x : G), forall (hn : N x), Hpred x), forall (K : forall (q : @NormalQuot.{u} G one mul inv N group_args n_normal), Prop), forall (k_args : @SubgroupLawArgs.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotOne.{u} G one mul inv N group_args n_normal) (@NormalQuotMul.{u} G one mul inv N group_args n_normal) (@NormalQuotInv.{u} G one mul inv N group_args n_normal) K), Prop

inductive CorrespondenceTheoremEvidence.{u} : forall (G : Sort succ u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (N : forall (x : G), Prop), forall (Hpred : forall (x : G), Prop), forall (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (n_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (h_args : @SubgroupLawArgs.{succ u} G one mul inv Hpred), forall (n_le_h : forall (x : G), forall (hn : N x), Hpred x), forall (K : forall (q : @NormalQuot.{u} G one mul inv N group_args n_normal), Prop), forall (k_args : @SubgroupLawArgs.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotOne.{u} G one mul inv N group_args n_normal) (@NormalQuotMul.{u} G one mul inv N group_args n_normal) (@NormalQuotInv.{u} G one mul inv N group_args n_normal) K), Prop where | mk : forall (G : Sort succ u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (N : forall (x : G), Prop), forall (Hpred : forall (x : G), Prop), forall (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (n_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (h_args : @SubgroupLawArgs.{succ u} G one mul inv Hpred), forall (n_le_h : forall (x : G), forall (hn : N x), Hpred x), forall (K : forall (q : @NormalQuot.{u} G one mul inv N group_args n_normal), Prop), forall (k_args : @SubgroupLawArgs.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) (@NormalQuotOne.{u} G one mul inv N group_args n_normal) (@NormalQuotMul.{u} G one mul inv N group_args n_normal) (@NormalQuotInv.{u} G one mul inv N group_args n_normal) K), forall (image_evidence : @CorrespondenceImageSubgroupEvidence.{u} G one mul inv N Hpred group_args n_normal), forall (preimage_evidence : @CorrespondencePreimageSubgroupEvidence.{u} G one mul inv N group_args n_normal K k_args), forall (containment_evidence : @CorrespondenceContainmentEvidence.{u} G one mul inv N group_args n_normal K k_args), forall (saturation_evidence : @CorrespondenceSubgroupSaturationEvidence.{u} G one mul inv N Hpred group_args n_normal h_args n_le_h), forall (quotient_evidence : @CorrespondenceQuotientRoundTripEvidence.{u} G one mul inv N group_args n_normal K k_args), @CorrespondenceTheoremEvidence.{u} G one mul inv N Hpred group_args n_normal h_args n_le_h K k_args