Theorems · Theorem · commutative algebra
gcd_one_left
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : NormalizedGCDMonoid α] (a : α), gcd 1 a = 1- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- NormalizedGCDMonoidstatement and proof · cited by 159
- GCDMonoid.gcdstatement and proof · cited by 143
- one_dvdproof · cited by 37
- GCDMonoid.gcd_dvd_leftproof · cited by 36
- dvd_antisymm_of_normalize_eqproof · cited by 15
- normalize_gcdproof · cited by 13
- normalize_oneproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- AddCircle.ergodic_zsmulproof · cited by 2
- AddCircle.addWellApproximable_ae_empty_or_univproof · cited by 0