Theorems · Theorem · special functions
Real.cosh_le_exp_half_sq
∀ (x : ℝ), Real.cosh x ≤ Real.exp (x ^ 2 / 2)
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- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
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
- SummationFilter.unconditionalproof · cited by 2,068
- le_reflproof · cited by 2,061
- tsumproof · cited by 1,148
- Real.expstatement and proof · cited by 871
- Nat.factorialproof · cited by 616
- mul_posproof · cited by 374
- pow_posproof · cited by 292
- Nat.cast_pos'proof · cited by 219
- pow_mulproof · cited by 210
- pow_nonnegproof · cited by 141
- Real.coshstatement · cited by 119
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