Theorems · Theorem · order theory
Int.cast_abs
∀ {R : Type u_1} [inst : Ring R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] {a : ℤ}, ↑|a| = |↑a|- Defined in
- Mathlib.Algebra.Order.Ring.Cast
- Cited by
- 54 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- IsStrictOrderedRingstatement and proof · cited by 2,490
- absstatement · cited by 1,814
- Int.cast_negproof · cited by 224
- Int.cast_maxproof · cited by 1
Cited by54
Results whose statement or proof uses this declaration.
- HurwitzKernelBounds.summable_f_natproof · cited by 5
- norm_jacobiTheta₂_term_leproof · cited by 5
- NumberField.Embeddings.finite_of_norm_leproof · cited by 4
- NumberField.absNorm_differentIdealproof · cited by 4
- Int.ideal_span_absNorm_eq_selfproof · cited by 4
- Pell.exists_of_not_isSquareproof · cited by 3
- NNReal.natCast_natAbsproof · cited by 3
- ZLattice.covolume_div_covolume_eq_relIndexproof · cited by 2
- norm_jacobiTheta₂_term_fderiv_leproof · cited by 2
- summable_jacobiTheta₂'_term_iffproof · cited by 2
- summable_jacobiTheta₂_term_fderiv_iffproof · cited by 2
- ZLattice.exists_forall_abs_repr_le_normproof · cited by 2