Theorems · Inductive type · group theory
AddConstMap
(G : Type u_1) → (H : Type u_2) → [Add G] → [Add H] → G → H → Type (max u_1 u_2)
A bundled map f : G → H such that f (x + a) = f x + b for all x,
denoted as f : G →+c[a, b] H.
One can think about f as a lift to G of a map between two AddCircles.
- Defined in
- Mathlib.Algebra.AddConstMap.Basic
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by50
Results whose statement or proof uses this declaration.
- AddConstEquiv.equivUnitsstatement and proof · cited by 4
- AddConstMap.compstatement and proof · cited by 4
- AddConstMap.idstatement · cited by 4
- AddConstMap.conjNegstatement and proof · cited by 2
- AddConstMap.toFunstatement and proof · cited by 2
- AddConstMap.mk.injstatement · cited by 1
- AddConstMap.mk.noConfusionstatement · cited by 1
- AddConstEquiv.toAddConstMapstatement · cited by 1
- AddConstEquiv.toAddConstMapHomstatement · cited by 1
- AddConstMap.addLeftHomstatement · cited by 1
- AddConstMap.extstatement and proof · cited by 1
- AddConstMap.map_add_const'statement and proof · cited by 1