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Declaration
normal_rel_one_to_mem
Mathlib.Algebra.Group.Subgroup
Packages
2
Module
63
Theorem
750
Declarations
1016
信頼境界外の sidecar
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Statement
forall (G : Sort u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (group_args : @GroupLawArgs.{u} G one mul inv), forall (N : forall (x : G), Prop), forall (normal_args : @NormalSubgroupLawArgs.{u} G one mul inv N), forall (h : G), forall (hk : @NormalRel.{u} G one mul inv N h one), N h
Proof term
fun G => fun one => fun mul => fun inv => fun group_args => fun N => fun normal_args => fun h => fun hk => @eq_subst.{u} G N (inv (inv h)) h (@group_inv_inv.{u} G one mul inv group_args h) (@subgroup_inv_closed.{u} G one mul inv N (@normal_subgroup_laws.{u} G one mul inv N normal_args) (inv h) (@eq_subst.{u} G N (mul (inv h) one) (inv h) (@group_mul_one.{u} G one mul inv group_args (inv h)) hk))
Constants
Mathlib.Algebra.Group.Basic.GroupLawArgs
Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db
Mathlib.Algebra.Group.Subgroup.NormalRel
Interface hash: sha256:9846c2dd7eb15da07ecbeb78644532226c8ce50cf7ddf9c0f7a2bd5cbb7bc58e
Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs
Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8