Theorems · Theorem · number theory
Nat.card_pair_lcm_eq
∀ {n : ℕ},
Squarefree n → {p ∈ n.divisors ×ˢ n.divisors | p.1.lcm p.2 = n}.card = 3 ^ ArithmeticFunction.cardDistinctFactors n- Defined in
- Mathlib.Algebra.Order.Antidiag.Nat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetstatement · cited by 13,712
- Finset.cardstatement and proof · cited by 2,327
- SProd.sprodstatement and proof · cited by 1,750
- Finset.filterstatement and proof · cited by 949
- ArithmeticFunctionstatement · cited by 290
- Nat.divisorsstatement and proof · cited by 137
- Squarefreestatement and proof · cited by 112
- Squarefree.ne_zeroproof · cited by 18
- ArithmeticFunction.cardDistinctFactorsstatement · cited by 13
- Finset.card_bijproof · cited by 10
- Nat.card_finMulAntidiag_of_squarefreeproof · cited by 1
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