Theorems · Theorem · logic and foundations
nonempty_encodable
∀ (α : Type u_1) [Countable α], Nonempty (Encodable α)
See also nonempty_fintype, nonempty_denumerable.
- Defined in
- Mathlib.Logic.Encodable.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Countable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Countablestatement and proof · cited by 633
- Encodablestatement · cited by 140
- Encodable.ofCountableproof · cited by 7
Cited by13
Results whose statement or proof uses this declaration.
- NNReal.exists_pos_sum_of_countableproof · cited by 4
- rel_iSup_tsumproof · cited by 3
- MeasureTheory.extend_iUnionproof · cited by 2
- MeasurableSpace.DynkinSystem.has_iUnionproof · cited by 2
- rel_iSup_tprodproof · cited by 2
- generateFrom_pi_eqproof · cited by 1
- MeasureTheory.lintegral_iSup_directed_of_measurableproof · cited by 1
- nonempty_denumerableproof · cited by 1
- MeasureTheory.VectorMeasure.restrict_le_restrict_countable_iUnionproof · cited by 1
- MeasureTheory.lintegral_iInf_directed_of_measurableproof · cited by 1
- Order.embedding_from_countable_to_denseproof · cited by 0
- Order.iso_of_countable_denseproof · cited by 0