Theorems · Theorem · commutative algebra
Int.cast_inj
∀ {α : Type u_3} [inst : AddGroupWithOne α] [CharZero α] {m n : ℤ}, ↑m = ↑n ↔ m = n- Defined in
- Mathlib.Data.Int.Cast.Lemmas
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext
- Assumes
- AddGroupWithOneCharZero
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.
- CharZerostatement and proof · cited by 932
- sub_eq_zeroproof · cited by 407
- AddGroupWithOnestatement and proof · cited by 111
- Int.cast_subproof · cited by 78
- Int.cast_eq_zeroproof · cited by 6
Cited by22
Results whose statement or proof uses this declaration.
- Int.cast_injectiveproof · cited by 30
- constantCoeff_wittStructureIntproof · cited by 6
- Rat.cast_injectiveproof · cited by 5
- Zsqrtd.norm_eq_one_iffproof · cited by 3
- Rat.mulHeight₁_eq_maxproof · cited by 2
- RootPairing.eq_baseOf_of_linearIndepOn_of_mem_or_neg_mem_closureproof · cited by 2
- circleIntegral.integral_sub_zpow_of_neproof · cited by 2
- irrational_nrt_of_notint_nrtproof · cited by 2
- Int.cast_eq_oneproof · cited by 1
- CongruenceSubgroup.exists_Gamma_le_conjproof · cited by 1
- LieAlgebra.IsKilling.eq_neg_one_or_eq_zero_or_eq_one_of_eq_smulproof · cited by 1
- ProbabilityTheory.gaussian_charFunDual_congrproof · cited by 1