Theorems · Theorem · complex analysis
Real.tan_neg
∀ (x : ℝ), Real.tan (-x) = -Real.tan x
- Defined in
- Mathlib.Analysis.Complex.Trigonometric
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Complex.ofRealproof · cited by 1,654
- Complex.reproof · cited by 882
- Complex.ofReal_negproof · cited by 130
- Real.tanstatement · cited by 100
- Complex.tanproof · cited by 77
- Complex.tan_negproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Real.tan_pi_subproof · cited by 0
- Real.tan_nat_mul_pi_subproof · cited by 0
- Real.tan_neg_of_neg_of_pi_div_two_ltproof · cited by 0
- Real.tan_nonpos_of_nonpos_of_neg_pi_div_two_leproof · cited by 0
- Real.tan_int_mul_pi_subproof · cited by 0