Theorems · Theorem · general topology
Filter.tendsto_id
∀ {α : Type u_1} {x : Filter α}, Filter.Tendsto id x x- Defined in
- Mathlib.Order.Filter.Tendsto
- Cited by
- 180 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 73 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.Tendstostatement · cited by 3,814
- le_reflproof · cited by 2,061
Cited by181
Results whose statement or proof uses this declaration.
- uniformContinuous_idproof · cited by 51
- HasStrictFDerivAt.hasFDerivAtproof · cited by 43
- Real.tendsto_log_atTopproof · cited by 26
- StrictMono.tendsto_atTopproof · cited by 20
- Filter.tendsto_pow_atTopproof · cited by 14
- Filter.Eventually.diag_of_prodproof · cited by 11
- tendsto_norm_cobounded_atTopproof · cited by 11
- Real.tendsto_exp_atTopproof · cited by 10
- Filter.tendsto_abs_atTop_atTopproof · cited by 9
- ENNReal.tendsto_toNNRealproof · cited by 8
- HasDerivAt.lhopital_zero_right_on_Iooproof · cited by 5
- Real.tendsto_log_nhdsGT_zeroproof · cited by 5