Theorems · Definition · logic and foundations
Hyperreal.epsilon
ℝ*
A sample infinitesimal hyperreal ε = ⟦(0, 1, 1/2, 1/3, ⋯)⟧.
Conventions for notations in identifiers:
* The recommended spelling of ε in identifiers is epsilon.
- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 90 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.archimedeanClassMk_epsilon_posstatement · cited by 3
- Hyperreal.infinitesimal_epsilonstatement · cited by 2
- Hyperreal.epsilon_posstatement · cited by 2
- Hyperreal.epsilon_lt_of_posstatement · cited by 1
- Hyperreal.stdPart_epsilonstatement · cited by 0
- Hyperreal.epsilon_lt_of_negstatement · cited by 0
- Hyperreal.epsilon_mul_omegastatement · cited by 0
- Hyperreal.epsilon_lt_posstatement · cited by 0
- Hyperreal.epsilon_ne_zerostatement · cited by 0
- Hyperreal.inv_epsilonstatement · cited by 0
- Hyperreal.inv_omegastatement · cited by 0