Theorems · Theorem · real analysis
expNegInvGlue.nonneg
∀ (x : ℝ), 0 ≤ expNegInvGlue x
The function expNegInvGlue is nonnegative.
- Cited by
- 4 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.
Cites7
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_of_ltproof · cited by 1,175
- le_or_gtproof · cited by 269
- ge_of_eqproof · cited by 67
- expNegInvGluestatement · cited by 17
- expNegInvGlue.zero_of_nonposproof · cited by 6
- expNegInvGlue.pos_of_posproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Real.smoothTransition.pos_denomproof · cited by 8
- Real.smoothTransition.le_oneproof · cited by 1
- Real.smoothTransition.monotoneproof · cited by 1
- Real.smoothTransition.nonnegproof · cited by 1