Theorems · Theorem · number theory
WithZeroMulInt.toNNReal_ne_zero
∀ {e : NNReal} {m : WithZero (Multiplicative ℤ)} (he : e ≠ 0), m ≠ 0 → (WithZeroMulInt.toNNReal he) m ≠ 0toNNReal sends nonzero elements to nonzero elements.
- Defined in
- Mathlib.Data.Int.WithZero
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 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
- NNRealstatement and proof · cited by 4,310
- Multiplicativestatement and proof · cited by 875
- MonoidWithZeroHomstatement · cited by 704
- WithZerostatement and proof · cited by 586
- WithZeroMulInt.toNNRealstatement and proof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- WithZeroMulInt.toNNReal_posproof · cited by 0