Theorems · Theorem · general algebraic systems
Pi.mulSingle_injective
∀ {ι : Type u_1} {M : ι → Type u_6} [inst : (i : ι) → One (M i)] [inst_1 : DecidableEq ι] (i : ι),
Function.Injective (Pi.mulSingle i)- Defined in
- Mathlib.Algebra.Notation.Pi.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- OneDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Pi.mulSinglestatement · cited by 111
- Function.update_injectiveproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- RestrictedProduct.mulSingle_injectiveproof · cited by 1
- Pi.mulSingle_injproof · cited by 0
- orderOf_piMulSingleproof · cited by 0