Theorems · Theorem · commutative algebra
Int.cast_eq_zero
∀ {α : Type u_3} [inst : AddGroupWithOne α] [CharZero α] {n : ℤ}, ↑n = 0 ↔ n = 0- Defined in
- Mathlib.Data.Int.Cast.Lemmas
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- AddGroupWithOneCharZero
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.
- CharZerostatement and proof · cited by 932
- Int.cast_natCastproof · cited by 393
- Int.cast_zeroproof · cited by 188
- neg_eq_zeroproof · cited by 171
- AddGroupWithOnestatement and proof · cited by 111
- Int.cast_negSuccproof · cited by 32
- Nat.cast_eq_zeroproof · cited by 18
Cited by6
Results whose statement or proof uses this declaration.
- Int.cast_injproof · cited by 22
- Int.cast_ne_zeroproof · cited by 17
- IsSl2Triple.HasPrimitiveVectorWith.pow_toEnd_f_ne_zero_of_eq_natproof · cited by 2
- HurwitzZeta.hasSum_int_completedCosZetaproof · cited by 2
- one_le_pow_mul_abs_eval_divproof · cited by 1
- ZSpan.discreteTopology_pi_basisFunproof · cited by 0