Theorems · Theorem · commutative algebra
IsCoprime.add_one_sub_one_of_two_dvd
∀ {R : Type u} [inst : CommRing R] {x : R}, 2 ∣ x → IsCoprime (x + 1) (x - 1)- Defined in
- Mathlib.RingTheory.Coprime.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- IsCoprimestatement and proof · cited by 321
- IsCoprime.add_mul_left_leftproof · cited by 6
- IsCoprime.sub_one_right_of_dvdproof · cited by 1
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