Theorems · Theorem · number theory
WithZeroMulInt.toNNReal_lt_one_iff
∀ {e : NNReal} {m : WithZero (Multiplicative ℤ)} (he : 1 < e), (WithZeroMulInt.toNNReal ⋯) m < 1 ↔ m < 1- Defined in
- Mathlib.Data.Int.WithZero
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- NNRealstatement and proof · cited by 4,310
- Multiplicativestatement and proof · cited by 875
- map_oneproof · cited by 861
- MonoidWithZeroHomstatement · cited by 704
- WithZerostatement and proof · cited by 586
- StrictMono.lt_iff_ltproof · cited by 86
- LT.lt.ne_zeroproof · cited by 34
- WithZeroMulInt.toNNRealstatement and proof · cited by 28
- ne_zero_of_ltstatement and proof · cited by 17
- WithZeroMulInt.toNNReal_strictMonoproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsDedekindDomain.HeightOneSpectrum.intAdicAbv_lt_one_iffproof · cited by 3