Theorems · Theorem · real analysis
NNReal.exists_pow_lt_of_lt_one
∀ {a b : NNReal}, 0 < a → b < 1 → ∃ n, b ^ n < a- Defined in
- Mathlib.Data.NNReal.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 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.
- NNRealstatement and proof · cited by 4,310
- NNReal.coe_posproof · cited by 31
- NNReal.coe_lt_coeproof · cited by 21
- exists_pow_lt_of_lt_oneproof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- NNReal.exists_lt_of_strictMonoproof · cited by 2