Theorems · Theorem · real analysis
NNReal.zero_rpow_def
∀ (y : ℝ), 0 ^ y = if y = 0 then 1 else 0
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NNRealstatement · cited by 4,310
- NNReal.rpow_zeroproof · cited by 20
- NNReal.zero_rpowproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.rpow_eq_rpow_right_iffproof · cited by 1