Theorems · Theorem · logic and foundations
Hyperreal.coe_lt_omega
∀ (r : ℝ), ↑r < Hyperreal.omega
- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- LT.lt.trans_leproof · cited by 678
- Hyperrealstatement · cited by 172
- Filter.eventually_atTopproof · cited by 112
- Filter.Eventually.filter_monoproof · cited by 84
- Hyperreal.ofRealstatement · cited by 68
- exists_nat_gtproof · cited by 26
- Hyperreal.omegastatement · cited by 11
- Hyperreal.ofSeq_lt_ofSeqproof · cited by 6
- Nat.hyperfilter_le_atTopproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Hyperreal.omega_posproof · cited by 3
- Hyperreal.archimedeanClassMk_omega_negproof · cited by 1