Mathlib Map

Theorems · Theorem · number theory

Irrational.of_neg

∀ {x : ℝ}, Irrational (-x) → Irrational x
Defined in
Mathlib.NumberTheory.Real.Irrational
Cited by
3 results in Mathlib
Foundations
Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Irrational.neg · cited by 2Irrational.negIrrational.of_ratCast_sub · cited by 2Irrational.of_ratCast_subirrational_neg_iff · cited by 0irrational_neg_iffReal · cited by 25697RealSet.range · cited by 4705Set.rangeIrrational · cited by 139IrrationalRat.cast_neg · cited by 25Rat.cast_negIrrational.of_negCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.