subgroup_equiv_trans

Mathlib.Algebra.Group.Subgroup.Order

Packages

Module

Theorem

750

Declarations

1016

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Statement

forall (G : Sort u), forall (H : forall (x : G), Prop), forall (K : forall (x : G), Prop), forall (L : forall (x : G), Prop), forall (h_equiv_k : @SubgroupEquiv.{u} G H K), forall (k_equiv_l : @SubgroupEquiv.{u} G K L), @SubgroupEquiv.{u} G H L

Proof term

fun G => fun H => fun K => fun L => fun h_equiv_k => fun k_equiv_l => @subgroup_equiv_intro.{u} G H L (@subgroup_le_trans.{u} G H K L (@subgroup_equiv_left.{u} G H K h_equiv_k) (@subgroup_equiv_left.{u} G K L k_equiv_l)) (@subgroup_le_trans.{u} G L K H (@subgroup_equiv_right.{u} G K L k_equiv_l) (@subgroup_equiv_right.{u} G H K h_equiv_k))

Constants

Mathlib.Algebra.Group.Subgroup.Order.SubgroupEquiv

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