Theorems · Theorem · real analysis
Real.arcsin_eq_arctan
∀ {x : ℝ}, x ∈ Set.Ioo (-1) 1 → Real.arcsin x = Real.arctan (x / √(1 - x ^ 2))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Set.Ioostatement and proof · cited by 1,214
- div_oneproof · cited by 629
- Real.sqrtstatement and proof · cited by 545
- le_of_not_gtproof · cited by 430
- Int.cast_oneproof · cited by 371
- sub_add_cancelproof · cited by 344
- Int.cast_negproof · cited by 224
- sub_eq_zero_of_eqproof · cited by 154
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