Theorems · Theorem · group theory
Irreducible.not_isSquare
∀ {M : Type u_2} [inst : Monoid M] {x : M}, Irreducible x → ¬IsSquare x- Defined in
- Mathlib.Algebra.Group.Irreducible.Lemmas
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Irreduciblestatement and proof · cited by 496
- IsSquarestatement · cited by 132
- not_irreducible_powproof · cited by 6
- isSquare_iff_exists_sqproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Nat.Prime.irrational_sqrtproof · cited by 3
- Prime.not_isSquareproof · cited by 1
- IsSquare.not_irreducibleproof · cited by 0