Theorems · Theorem · Lie groups
continuous_mul
∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Mul M] [ContinuousMul M], Continuous fun p => p.1 * p.2- Defined in
- Mathlib.Topology.Algebra.Monoid.Defs
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Continuousstatement · cited by 2,592
- ContinuousMulstatement and proof · cited by 343
- ContinuousMul.continuous_mulproof · cited by 3
Cited by42
Results whose statement or proof uses this declaration.
- Filter.Tendsto.mulproof · cited by 74
- Continuous.mulproof · cited by 39
- UniformSpace.Completion.coe_mulproof · cited by 6
- hasStrictDerivAt_invproof · cited by 4
- isUniformGroup_of_commGroupproof · cited by 4
- summable_mul_of_summable_norm'proof · cited by 3
- Hyperreal.IsSt.mulproof · cited by 3
- Path.mulproof · cited by 3
- ApproximatesLinearOn.norm_fderiv_sub_leproof · cited by 3
- integral_sin_pow_mul_cos_pow_oddproof · cited by 3
- integral_sin_pow_odd_mul_cos_powproof · cited by 3
- Set.Icc.continuous_convexComb_prodproof · cited by 2