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Theorems · Theorem · number theory

Dioph.diophPFun_comp1

∀ {α : Type u} {S : Set (Option α → ℕ)},
  Dioph S → ∀ {f : (α → ℕ) →. ℕ}, Dioph.DiophPFun f → Dioph {v | ∃ (h : v ∈ f.Dom), Option.elim' (f.fn v h) v ∈ S}
Defined in
Mathlib.NumberTheory.Dioph
Cited by
1 results in Mathlib
Foundations
Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Dioph.diophFn_comp1 · cited by 1Dioph.diophFn_comp1Set · cited by 53352SetSet.ofPred · cited by 6101Set.ofPredPFun · cited by 207PFunPart.Dom · cited by 145Part.DomPart.get · cited by 77Part.getOption.elim' · cited by 30Option.elim'Dioph · cited by 30DiophPFun.Dom · cited by 28PFun.DomDioph.ext · cited by 12Dioph.extPFun.fn · cited by 6PFun.fnDioph.inter · cited by 6Dioph.interPFun.graph · cited by 5PFun.graphDioph.DiophPFun · cited by 5Dioph.DiophPFunDioph.ex1_dioph · cited by 3Dioph.ex1_diophDioph.diophPFun_comp1CITED BYCITES

Cites14

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Cited by1

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