Theorems · Theorem · special functions
Real.strictMonoOn_arcsin
StrictMonoOn Real.arcsin (Set.Icc (-1) 1)
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Real.piproof · cited by 1,774
- Set.Iccstatement and proof · cited by 1,702
- OrderIso.symmproof · cited by 475
- StrictMonoOnstatement · cited by 194
- Real.arcsinstatement · cited by 125
- OrderIso.strictMonoproof · cited by 26
- Subtype.strictMono_coeproof · cited by 12
- Real.sinOrderIsoproof · cited by 9
- StrictMono.comp_strictMonoOnproof · cited by 4
- StrictMono.strictMonoOn_IccExtendproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Real.arcsin_le_iff_le_sinproof · cited by 3
- Real.injOn_arcsinproof · cited by 1
- Real.arcsin_lt_arcsinproof · cited by 1
- Real.strictAntiOn_arccosproof · cited by 1