Theorems · Theorem · Lie groups
Continuous.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 (f ^ n)- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Monoidstatement and proof · cited by 3,887
- Continuousstatement and proof · cited by 2,592
- Continuous.compproof · cited by 371
- ContinuousMulstatement and proof · cited by 343
- continuous_powproof · cited by 15
Cited by5
Results whose statement or proof uses this declaration.
- Continuous.fun_powproof · cited by 39
- integral_sin_pow_succ_leproof · cited by 3
- isLittleO_pow_const_const_pow_of_one_ltproof · cited by 3
- ProbabilityTheory.sum_variance_truncation_leproof · cited by 1