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Theorems · Theorem · group theory

Set.pow_right_monotone

∀ {α : Type u_2} [inst : Monoid α] {s : Set α}, 1 ∈ s → Monotone fun x => s ^ x
Defined in
Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by
3 results in Mathlib
Foundations
Depth 57 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.pow_subset_pow_right · cited by 2Set.pow_subset_pow_rightLinearEquiv.transvections_pow_mono · cited by 0LinearEquiv.transvections…LinearEquiv.dilatransvections_pow_mono · cited by 0LinearEquiv.dilatransvect…Set · cited by 53352SetMonoid · cited by 3887MonoidMonotone · cited by 1397MonotoneSet.monoid · cited by 19Set.monoidpow_right_monotone · cited by 3pow_right_monotoneSet.one_subset · cited by 1Set.one_subsetSet.pow_right_monotoneCITED BYCITES

Cites6

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Cited by3

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