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Theorems · Theorem · number theory

Irrational.div_cases

∀ {x y : ℝ}, Irrational (x / y) → Irrational x ∨ Irrational y
Defined in
Mathlib.NumberTheory.Real.Irrational
Cited by
3 results in Mathlib
Foundations
Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Irrational.of_intCast_div · cited by 1Irrational.of_intCast_divIrrational.of_div_intCast · cited by 1Irrational.of_div_intCastIrrational.of_div_ratCast · cited by 0Irrational.of_div_ratCastReal · cited by 25697RealIrrational · cited by 139IrrationalIrrational.of_inv · cited by 5Irrational.of_invIrrational.mul_cases · cited by 3Irrational.mul_casesIrrational.div_casesCITED BYCITES

Cites4

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Cited by3

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