Theorems · Theorem · commutative algebra
gcd_ne_zero_of_right
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : GCDMonoid α] {a b : α}, b ≠ 0 → gcd a b ≠ 0- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- CommMonoidWithZeroGCDMonoid
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.
- CommMonoidWithZerostatement and proof · cited by 913
- GCDMonoid.gcdstatement · cited by 143
- GCDMonoidstatement and proof · cited by 96
Cited by1
Results whose statement or proof uses this declaration.
- isCoprime_div_gcd_div_gcdproof · cited by 2