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Theorems · Theorem · Lie groups

Continuous.fun_add

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Add M] [ContinuousAdd M] {X : Type u_2}
  [inst_3 : TopologicalSpace X] {f g : X → M}, Continuous f → Continuous g → Continuous fun i => f i + g i
Defined in
Mathlib.Topology.Algebra.Monoid.Defs
Cited by
3 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddContinuousAddTopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isClosed_setOfPred_convexOn · cited by 2isClosed_setOfPred_convex…isClosed_setOfPred_map_add · cited by 1isClosed_setOfPred_map_addContinuousAdd.induced · cited by 0ContinuousAdd.inducedTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousContinuousAdd · cited by 777ContinuousAddContinuous.add · cited by 32Continuous.addContinuous.fun_addCITED BYCITES

Cites4

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Cited by3

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