Theorems · Definition · logic and foundations
Hyperreal.omega
ℝ*
A sample infinite hyperreal ω = ⟦(0, 1, 2, 3, ⋯)⟧.
Conventions for notations in identifiers:
* The recommended spelling of ω in identifiers is omega.
- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Hyperrealstatement · cited by 172
- Hyperreal.ofSeqproof · cited by 24
Cited by11
Results whose statement or proof uses this declaration.
- Hyperreal.omega_posstatement · cited by 3
- Hyperreal.omega_ne_zerostatement · cited by 2
- Hyperreal.coe_lt_omegastatement · cited by 2
- Hyperreal.abs_omegastatement · cited by 1
- Hyperreal.archimedeanClassMk_omega_negstatement · cited by 1
- Hyperreal.infinite_omegastatement · cited by 0
- Hyperreal.stdPart_omegastatement · cited by 0
- Hyperreal.epsilon_mul_omegastatement · cited by 0
- Hyperreal.inv_epsilonstatement and proof · cited by 0
- Hyperreal.inv_omegastatement · cited by 0
- Hyperreal.infinitePos_omegastatement · cited by 0