Theorems · Theorem · commutative algebra
CharTwo.sq_injective
∀ {R : Type u_1} [inst : CommRing R] [CharP R 2] [NoZeroDivisors R], Function.Injective fun x => x ^ 2- Defined in
- Mathlib.Algebra.CharP.Two
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingCharPNoZeroDivisors
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- NoZeroDivisorsstatement and proof · cited by 545
- CharPstatement and proof · cited by 478
- two_ne_zeroproof · cited by 251
- pow_eq_zero_iffproof · cited by 16
- CharTwo.add_sqproof · cited by 2
- CharTwo.add_eq_zeroproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CharTwo.sq_injproof · cited by 1
- CharTwo.CommRing.sq_injectiveproof · cited by 0