Theorems · Theorem · general algebraic systems
Finsupp.mapRange.congr_simp
∀ {α : Type u_1} {M : Type u_4} {N : Type u_5} [inst : Zero M] [inst_1 : Zero N] (f f_1 : M → N) (e_f : f = f_1)
(hf : f 0 = 0) (g g_1 : α →₀ M), g = g_1 → Finsupp.mapRange f hf g = Finsupp.mapRange f_1 ⋯ g_1- Defined in
- Mathlib.Data.Finsupp.Defs
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement and proof · cited by 5,255
- Finsupp.mapRangestatement and proof · cited by 91
Cited by12
Results whose statement or proof uses this declaration.
- Module.Projective.of_equivproof · cited by 9
- MonoidAlgebra.range_mapproof · cited by 0
- AddMonoidAlgebra.range_mapproof · cited by 0
- AddMonoidAlgebra.map_injectiveproof · cited by 0
- AddMonoidAlgebra.map_mulproof · cited by 0
- MonoidAlgebra.map_injectiveproof · cited by 0
- AddMonoidAlgebra.map_sumproof · cited by 0
- AddMonoidAlgebra.map_surjectiveproof · cited by 0
- MonoidAlgebra.map_mulproof · cited by 0
- MonoidAlgebra.map_sumproof · cited by 0
- MonoidAlgebra.map_surjectiveproof · cited by 0