Theorems · Theorem · number theory
Zsqrtd.mul_pos
∀ {d : ℕ} [dnsq : Zsqrtd.Nonsquare d] (a b : ℤ√↑d), 0 < a → 0 < b → 0 < a * b- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Quot.sound
- Assumes
- Zsqrtd.Nonsquare
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_antisymmproof · cited by 2,068
- le_of_ltproof · cited by 1,175
- ne_of_gtproof · cited by 637
- Zsqrtdstatement and proof · cited by 105
- NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zeroproof · cited by 14
- Zsqrtd.Nonsquarestatement and proof · cited by 12
- Zsqrtd.mul_nonnegproof · cited by 1
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