Theorems · Theorem · Lie groups
Topology.IsInducing.continuousMul
∀ {M : Type u_6} {N : Type u_7} {F : Type u_8} [inst : Mul M] [inst_1 : Mul N] [inst_2 : FunLike F M N]
[MulHomClass F M N] [inst_4 : TopologicalSpace M] [inst_5 : TopologicalSpace N] [ContinuousMul N] (f : F),
Topology.IsInducing ⇑f → ContinuousMul M- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 2 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- FunLikestatement and proof · cited by 2,560
- ContinuousMulstatement and proof · cited by 343
- Topology.IsInducingstatement and proof · cited by 266
- MulHomClassstatement and proof · cited by 73
- ContinuousSMul.continuous_smulproof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- Topology.IsInducing.topologicalGroupproof · cited by 1
- continuousMul_inducedproof · cited by 0