Theorems · Theorem · real analysis
Real.cos_sub_two_pi
∀ (x : ℝ), Real.cos (x - 2 * Real.pi) = Real.cos x
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- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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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.cosstatement · cited by 424
- Real.cos_periodicproof · cited by 16
- Function.Periodic.sub_eqproof · cited by 13
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