Theorems · Theorem · real analysis
Real.tan_sub_nat_mul_pi
∀ (x : ℝ) (n : ℕ), Real.tan (x - ↑n * Real.pi) = Real.tan x
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- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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.pistatement · cited by 1,774
- Real.tanstatement · cited by 100
- Real.tan_periodicproof · cited by 14
- Function.Periodic.sub_nat_mul_eqproof · cited by 6
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