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Theorems · Theorem · logic and foundations

toNat_manyOneReducible

∀ {α : Type u} [inst : Primcodable α] [inst_1 : Inhabited α] {p : Set α}, toNat p ≤₀ p
Defined in
Mathlib.Computability.Reduce
Cited by
2 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PrimcodableInhabited
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Around this declaration

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

manyOneReducible_toNat_toNat · cited by 1manyOneReducible_toNat_to…ManyOneDegree.add_of · cited by 0ManyOneDegree.add_ofSet · cited by 53352SetPrimcodable · cited by 325PrimcodableEncodable.decode · cited by 77Encodable.decodeManyOneReducible · cited by 17ManyOneReducibleComputable.const · cited by 16Computable.constComputable.decode · cited by 6Computable.decodetoNat · cited by 6toNatComputable.option_getD · cited by 1Computable.option_getDtoNat_manyOneReducibleCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.