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Theorems · Theorem · group theory

Subgroup.prod_mono

∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N],
  Relator.LiftFun (fun x1 x2 => x1 ≤ x2) (Relator.LiftFun (fun x1 x2 => x1 ≤ x2) fun x1 x2 => x1 ≤ x2) Subgroup.prod
    Subgroup.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
GroupGroup
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Around this declaration

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

Subgroup.prod_mono_left · cited by 0Subgroup.prod_mono_leftSubgroup.prod_mono_right · cited by 0Subgroup.prod_mono_rightGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSet.prod_mono · cited by 52Set.prod_monoRelator.LiftFun · cited by 47Relator.LiftFunSubgroup.prod · cited by 35Subgroup.prodSubgroup.prod_monoCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.