Theorems · Theorem · number theory
Int.two_pow_two_pow_sub_pow_two_pow
∀ {x y : ℤ} (n : ℕ), 4 ∣ x - y → ¬2 ∣ x → emultiplicity 2 (x ^ 2 ^ n - y ^ 2 ^ n) = emultiplicity 2 (x - y) + ↑n- Defined in
- Mathlib.NumberTheory.Multiplicity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingproof · cited by 17,173
- Finsetproof · cited by 13,712
- ENatstatement · cited by 4,985
- Nat.cast_oneproof · cited by 2,501
- Finset.prodproof · cited by 2,356
- Finset.sum_congrproof · cited by 2,323
- add_commproof · cited by 1,535
- Finset.rangeproof · cited by 1,341
- Finset.sum_constproof · cited by 254
- emultiplicitystatement and proof · cited by 156
- Finset.card_rangeproof · cited by 108
- nsmul_oneproof · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- Int.two_pow_sub_pow'proof · cited by 1