Theorems · Theorem · number theory
Nat.not_bddAbove_setOfPred_prime
¬BddAbove {p | Nat.Prime p}A version of Nat.exists_infinite_primes using the BddAbove predicate.
- Defined in
- Mathlib.Data.Nat.Prime.Infinite
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredstatement · cited by 6,101
- Nat.Primestatement and proof · cited by 2,059
- BddAbovestatement · cited by 620
- not_bddAbove_iffproof · cited by 15
- Nat.exists_infinite_primesproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Nat.infinite_setOfPred_primeproof · cited by 5
- Nat.not_bddAbove_setOf_primeproof · cited by 0