Theorems · Theorem · general topology
Complex.closure_reProdIm
∀ (s t : Set ℝ), closure (s ×ℂ t) = closure s ×ℂ closure t
- Defined in
- Mathlib.Analysis.Complex.ReImTopology
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Set.preimageproof · cited by 4,946
- closurestatement and proof · cited by 1,254
- ContinuousLinearEquiv.symmproof · cited by 368
- ContinuousLinearEquiv.toHomeomorphproof · cited by 44
- Complex.reProdImstatement and proof · cited by 39
- Homeomorph.surjectiveproof · cited by 23
- Complex.equivRealProdCLMproof · cited by 11
- closure_prod_eqproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- PhragmenLindelof.quadrant_Iproof · cited by 4
- PhragmenLindelof.horizontal_stripproof · cited by 3