Theorems · Theorem · real analysis
Real.smoothTransition.one_of_one_le
∀ {x : ℝ}, 1 ≤ x → x.smoothTransition = 1- Cited by
- 3 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.
Cites9
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
- add_zeroproof · cited by 2,707
- LT.lt.ne'proof · cited by 1,417
- sub_nonposproof · cited by 29
- expNegInvGlueproof · cited by 17
- Real.smoothTransitionstatement · cited by 17
- div_eq_one_iff_eqproof · cited by 16
- Real.smoothTransition.pos_denomproof · cited by 8
- expNegInvGlue.zero_of_nonposproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Real.smoothTransition.oneproof · cited by 1
- Real.smoothTransition.eq_one_iff_one_leproof · cited by 0
- Real.smoothTransition.projIccproof · cited by 0