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Theorems · Theorem · general algebraic systems

Pi.single_ne_zero_iff

∀ {ι : Type u_1} {M : ι → Type u_6} [inst : (i : ι) → Zero (M i)] [inst_1 : DecidableEq ι] {i : ι} {x : M i},
  Pi.single i x ≠ 0 ↔ x ≠ 0
Defined in
Mathlib.Algebra.Notation.Pi.Basic
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroDecidableEq
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Around this declaration

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

PSL.iSup_lineStab_eq_top · cited by 1PSL.iSup_lineStab_eq_topRestrictedProduct.single_ne_zero_iff · cited by 0RestrictedProduct.single_…Pi.single · cited by 518Pi.singleIff.ne · cited by 52Iff.nePi.single_eq_zero_iff · cited by 3Pi.single_eq_zero_iffPi.single_ne_zero_iffCITED BYCITES

Cites3

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Cited by2

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