Theorems · Theorem · real analysis
Real.mulExpNegMulSq_one_le_one
∀ (x : ℝ), Real.mulExpNegMulSq 1 x ≤ 1
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- le_of_ltproof · cited by 1,175
- le_transproof · cited by 985
- Real.expproof · cited by 871
- le_of_not_gtproof · cited by 430
- neg_neg_of_posproof · cited by 227
- Real.exp_posproof · cited by 169
- le_div_iff₀proof · cited by 75
- div_inv_eq_mulproof · cited by 53
Cited by2
Results whose statement or proof uses this declaration.
- Real.abs_mulExpNegMulSq_one_le_oneproof · cited by 1
- Real.neg_one_le_mulExpNegMulSq_oneproof · cited by 1