Theorems · Theorem · Lie groups
Continuous.fun_pow
∀ {M : Type u_3} {X : Type u_5} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace M] [inst_2 : Monoid M]
[ContinuousMul M] {f : X → M}, Continuous f → ∀ (n : ℕ), Continuous fun i => f i ^ nEta-expanded form of Continuous.pow
- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Monoidstatement · cited by 3,887
- Continuousstatement · cited by 2,592
- ContinuousMulstatement · cited by 343
- Continuous.powproof · cited by 5
Cited by39
Results whose statement or proof uses this declaration.
- Complex.norm_log_sub_logTaylor_leproof · cited by 4
- Complex.tsum_exp_neg_quadraticproof · cited by 3
- integral_sin_pow_mul_cos_pow_oddproof · cited by 3
- integral_sin_pow_odd_mul_cos_powproof · cited by 3
- isQuotientCoveringMap_npowproof · cited by 2
- Subalgebra.SeparatesPoints.rclike_to_realproof · cited by 2
- Complex.continuous_normSqproof · cited by 2
- EulerSine.integral_cos_pow_eqproof · cited by 2
- ContinuousMap.idealOfSet_ofIdeal_eq_closureproof · cited by 2
- NumberField.mixedEmbedding.continuous_normproof · cited by 2
- qExpansion_coeff_isBigO_of_norm_isBigOproof · cited by 2
- Complex.isOpenQuotientMap_pow_compl_zeroproof · cited by 1