Theorems · Theorem · Lie groups
Continuous.sub
∀ {G : Type u_1} {X : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace G] [inst_2 : Sub G]
[ContinuousSub G] {f g : X → G}, Continuous f → Continuous g → Continuous (f - g)- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 74 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 and proof · cited by 24,529
- Continuousstatement and proof · cited by 2,592
- ContinuousSubstatement and proof · cited by 48
- Continuous.comp₂proof · cited by 16
- ContinuousSub.continuous_subproof · cited by 6
Cited by24
Results whose statement or proof uses this declaration.
- Continuous.fun_subproof · cited by 53
- Submodule.IsTopCompl.symmproof · cited by 14
- Real.continuous_arccosproof · cited by 9
- ContinuousLinearMap.is_weak_closed_closedBallproof · cited by 3
- Subalgebra.SeparatesPoints.rclike_to_realproof · cited by 2
- HasFPowerSeriesWithinOnBall.continuousOnproof · cited by 2
- Real.sinh_sub_id_strictMonoproof · cited by 2
- continuous_skewAdjointPartproof · cited by 1
- CircleDeg1Lift.translationNumber_lt_of_forall_lt_addproof · cited by 1
- CircleDeg1Lift.lt_translationNumber_of_forall_add_ltproof · cited by 1
- intervalIntegral.continuous_parametric_primitive_of_continuousproof · cited by 1