Theorems · Theorem · general algebraic systems
Pi.mulSingle_one
∀ {ι : Type u_1} {M : ι → Type u_6} [inst : (i : ι) → One (M i)] [inst_1 : DecidableEq ι] (i : ι), Pi.mulSingle i 1 = 1- Defined in
- Mathlib.Algebra.Notation.Pi.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- 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_eq_selfproof · cited by 41
Cited by5
Results whose statement or proof uses this declaration.
- OneHom.mulSingleproof · cited by 2
- Pi.mulSingle_eq_one_iffproof · cited by 2
- Pi.mulSupport_mulSingleproof · cited by 1
- RestrictedProduct.mulSingle_oneproof · cited by 0
- Pi.mulSupport_mulSingle_oneproof · cited by 0