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Theorems · Theorem · group theory

AddSubgroup.prod_mono

∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N],
  Relator.LiftFun (fun x1 x2 => x1 ≤ x2) (Relator.LiftFun (fun x1 x2 => x1 ≤ x2) fun x1 x2 => x1 ≤ x2) AddSubgroup.prod
    AddSubgroup.prod
Defined in
Mathlib.Algebra.Group.Subgroup.Basic
Cited by
2 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
AddGroupAddGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubgroup.prod_mono_left · cited by 0AddSubgroup.prod_mono_leftAddSubgroup.prod_mono_right · cited by 0AddSubgroup.prod_mono_rig…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupSet.prod_mono · cited by 52Set.prod_monoRelator.LiftFun · cited by 47Relator.LiftFunAddSubgroup.prod · cited by 34AddSubgroup.prodAddSubgroup.prod_monoCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.