Theorems · Theorem · group theory
orderOf_piMulSingle
∀ {ι : Type u_6} [inst : DecidableEq ι] {M : ι → Type u_7} [inst_1 : (i : ι) → Monoid (M i)] (i : ι) (g : M i),
orderOf (Pi.mulSingle i g) = orderOf g- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqMonoid
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- orderOfstatement · cited by 324
- Pi.mulSinglestatement · cited by 111
- MonoidHom.mulSingleproof · cited by 21
- orderOf_injectiveproof · cited by 12
- Pi.mulSingle_injectiveproof · cited by 3
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