Theorems · Theorem · general topology
BoundedContinuousFunction.pow_apply
∀ {α : Type u} {R : Type u_2} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace R] [inst_2 : Monoid R]
[inst_3 : BoundedMul R] [inst_4 : ContinuousMul R] (n : ℕ) (f : BoundedContinuousFunction α R) (x : α),
(f ^ n) x = f x ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Monoidstatement and proof · cited by 3,887
- PseudoMetricSpacestatement and proof · cited by 1,550
- BoundedContinuousFunctionstatement and proof · cited by 511
- ContinuousMulstatement and proof · cited by 343
- BoundedMulstatement and proof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_integral_mul_one_add_inv_smul_sq_powproof · cited by 1