Theorems · Theorem · real analysis
Real.exists_cos_eq_zero
0 ∈ Real.cos '' Set.Icc 1 2
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.imagestatement · cited by 5,609
- Set.Iccstatement · cited by 1,702
- le_of_ltproof · cited by 1,175
- Real.cosstatement · cited by 424
- Real.continuousOn_cosproof · cited by 8
- intermediate_value_Icc'proof · cited by 3
- Real.cos_one_posproof · cited by 2
- Real.cos_two_negproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Real.piproof · cited by 1,774
- Real.cos_pi_div_twoproof · cited by 26
- Real.one_le_pi_div_twoproof · cited by 3
- Real.pi_div_two_le_twoproof · cited by 1