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Theorems · Theorem · group theory

Set.pow_subset_pow_right

∀ {α : Type u_2} [inst : Monoid α] {s : Set α} {m n : ℕ}, 1 ∈ s → m ≤ n → s ^ m ⊆ s ^ n
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
2 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Monoid
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Around this declaration

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

Set.subset_pow · cited by 2Set.subset_powSet.pow_subset_pow · cited by 1Set.pow_subset_powSet · cited by 53352SetMonoid · cited by 3887MonoidSet.NPow · cited by 51Set.NPowSet.pow_right_monotone · cited by 3Set.pow_right_monotoneSet.pow_subset_pow_rightCITED BYCITES

Cites4

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Cited by2

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