Theorems · Theorem · general algebraic systems
Function.mulSupport_nonempty_iff
∀ {ι : Type u_1} {M : Type u_3} [inst : One M] {f : ι → M}, (Function.mulSupport f).Nonempty ↔ f ≠ 1- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- One
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Nonemptystatement · cited by 2,627
- Function.mulSupportstatement and proof · cited by 240
- Set.nonempty_iff_ne_emptyproof · cited by 96
- Function.mulSupport_eq_empty_iffproof · cited by 4
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