Theorems · Theorem · number theory
Rat.AbsoluteValue.real_eq_abs
∀ (r : ℚ), Rat.AbsoluteValue.real r = ↑|r|
- Defined in
- Mathlib.NumberTheory.Ostrowski
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 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.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- absstatement · cited by 1,814
- AbsoluteValuestatement · cited by 363
- Rat.cast_absproof · cited by 13
- Rat.AbsoluteValue.realstatement · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Rat.AbsoluteValue.equiv_real_of_unboundedproof · cited by 1
- Rat.AbsoluteValue.not_real_isEquiv_padicproof · cited by 0