leanprover-community/mathlib4

Strict group homs are stable by `Prod.map`

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#38,421 opened on 2026/04/23

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enhancementgood first issuet-topology

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説明

Mathlib now has the definition Topology.IsStrictMap of topologically strict maps. In general, the product (in the sense of Prod.map) of two strict maps need not be strict. However, strict group homomorphisms satisfy this property.

I don't think we need a definition of strictness specific to group homs, but we definitely need some API :

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