Theorems · Theorem · combinatorics
DFinsupp.infinite_of_exists_right
∀ {ι : Type u_1} {π : ι → Type u_2} (i : ι) [Infinite (π i)] [inst : (i : ι) → Zero (π i)], Infinite (Π₀ (i : ι), π i)See DFinsupp.infinite_of_right for this in instance form, with the drawback that
it needs all π i to be infinite.
- Defined in
- Mathlib.Data.DFinsupp.FiniteInfinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFinsuppstatement · cited by 694
- Infinitestatement and proof · cited by 352
- DFinsupp.singleproof · cited by 113
- Infinite.of_injectiveproof · cited by 10
- DFinsupp.single_injectiveproof · cited by 4
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