Theorems · Theorem · real analysis
NNReal.coe_eq_one
∀ {r : NNReal}, ↑r = 1 ↔ r = 1- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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 and proof · cited by 4,310
- NNReal.toRealstatement and proof · cited by 1,260
- NNReal.coe_injproof · cited by 30
- NNReal.coe_oneproof · cited by 19
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.toReal_eq_one_iffproof · cited by 10
- NNReal.coe_ne_oneproof · cited by 0
- Complex.nnnorm_exp_ofReal_mul_Iproof · cited by 0
- ContinuousLinearMap.opNNNorm_le_of_unit_nnnormproof · cited by 0
- Complex.nnnorm_exp_I_mul_ofRealproof · cited by 0