Theorems · Theorem · number theory
Dioph.diophFn_comp1
∀ {α : Type u} {S : Set (Option α → ℕ)},
Dioph S → ∀ {f : (α → ℕ) → ℕ}, Dioph.DiophFn f → Dioph {v | Option.elim' (f v) v ∈ S}- Defined in
- Mathlib.NumberTheory.Dioph
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- PFun.liftproof · cited by 36
- Option.elim'statement and proof · cited by 30
- Diophstatement and proof · cited by 30
- PFun.Domproof · cited by 28
- Dioph.DiophFnstatement and proof · cited by 26
- Dioph.extproof · cited by 12
- PFun.fnproof · cited by 6
- Dioph.diophFn_iff_pFunproof · cited by 1
- Dioph.diophPFun_comp1proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Dioph.diophFn_vec_comp1proof · cited by 0