Theorems · Theorem · Lie groups
isClosed_setOf_map_mul
Deprecated since 2026-07-09Use isClosed_setOfPred_map_mul instead.
∀ (M₁ : Type u_6) (M₂ : Type u_7) [inst : TopologicalSpace M₂] [T2Space M₂] [inst_2 : Mul M₁] [inst_3 : Mul M₂]
[ContinuousMul M₂], IsClosed {f | ∀ (x y : M₁), f (x * y) = f x * f y}Alias of isClosed_setOfPred_map_mul.
- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Set.ofPredstatement · cited by 6,101
- IsClosedstatement · cited by 1,639
- T2Spacestatement · cited by 1,351
- ContinuousMulstatement · cited by 343
- isClosed_setOfPred_map_mulproof · cited by 1
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