Theorems · Theorem · real analysis
Real.smoothTransition.le_one
∀ (x : ℝ), x.smoothTransition ≤ 1
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- le_add_of_nonneg_rightproof · cited by 69
- div_le_oneproof · cited by 29
- Real.smoothTransitionstatement · cited by 17
- Real.smoothTransition.pos_denomproof · cited by 8
- expNegInvGlue.nonnegproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Manifold.exists_lt_locally_constant_of_riemannianEDist_ltproof · cited by 3