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Theorems · Theorem · general algebraic systems

Pi.mulSingle_ne_one_iff

∀ {ι : Type u_1} {M : ι → Type u_6} [inst : (i : ι) → One (M i)] [inst_1 : DecidableEq ι] {i : ι} {x : M i},
  Pi.mulSingle i x ≠ 1 ↔ x ≠ 1
Defined in
Mathlib.Algebra.Notation.Pi.Basic
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
OneDecidableEq
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Around this declaration

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

RestrictedProduct.mulSingle_ne_one_iff · cited by 0RestrictedProduct.mulSing…Pi.mulSingle · cited by 111Pi.mulSingleIff.ne · cited by 52Iff.nePi.mulSingle_eq_one_iff · cited by 2Pi.mulSingle_eq_one_iffPi.mulSingle_ne_one_iffCITED BYCITES

Cites3

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Cited by1

Results whose statement or proof uses this declaration.