Theorems · Definition · field theory
Complex.reProdIm
Set ℝ → Set ℝ → Set ℂ
The product of a set on the real axis and a set on the imaginary axis of the complex plane,
denoted by s ×ℂ t.
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement · cited by 5,565
- Set.preimageproof · cited by 4,946
- Complex.reproof · cited by 882
- Complex.improof · cited by 591
Cited by40
Results whose statement or proof uses this declaration.
- Complex.Rectangleproof · cited by 5
- PhragmenLindelof.quadrant_Istatement and proof · cited by 4
- Complex.frontier_reProdImstatement and proof · cited by 3
- Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countablestatement and proof · cited by 3
- Complex.preimage_equivRealProd_prodstatement · cited by 3
- PhragmenLindelof.horizontal_stripproof · cited by 3
- PhragmenLindelof.quadrant_IVstatement and proof · cited by 2
- PhragmenLindelof.quadrant_IIstatement and proof · cited by 2
- Complex.integral_boundary_rect_eq_zero_of_differentiableOnstatement and proof · cited by 2
- Complex.integral_boundary_rect_eq_zero_of_differentiable_on_off_countablestatement and proof · cited by 2
- Complex.closure_reProdImstatement and proof · cited by 2