Theorems · Theorem · number theory
Nat.Prime.one_le
∀ {p : ℕ}, Nat.Prime p → 1 ≤ p- Defined in
- Mathlib.Data.Nat.Prime.Defs
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
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.
- LT.lt.leproof · cited by 2,189
- Nat.Primestatement and proof · cited by 2,059
- Nat.Prime.one_ltproof · cited by 118
Cited by12
Results whose statement or proof uses this declaration.
- padicNorm.of_intproof · cited by 3
- Chebyshev.psi_eq_sum_mul_log_primeproof · cited by 2
- Padic.isUniformInducing_cast_withValproof · cited by 2
- Chebyshev.sum_PrimePow_eq_sum_sum'proof · cited by 2
- Nat.primeFactors_lcmUptoproof · cited by 2
- PadicInt.fwdDiff_iter_le_of_forall_leproof · cited by 1
- Nat.smoothNumbersUpTo_subset_imageproof · cited by 1
- Padic.norm_natCast_p_sub_oneproof · cited by 1
- Nat.pow_pow_add_primeFactors_one_ltproof · cited by 1
- cyclotomicCharacter.continuousproof · cited by 0
- LindemannWeierstrass.exp_polynomial_approxproof · cited by 0