Theorems · Theorem · commutative algebra
HahnSeries.map.congr_simp
∀ {Γ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : Zero S]
(x x_1 : HahnSeries Γ R),
x = x_1 →
∀ {F : Type u_5} [inst_3 : FunLike F R S] [inst_4 : ZeroHomClass F R S] (f f_1 : F), f = f_1 → x.map f = x_1.map f_1- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- FunLikestatement and proof · cited by 2,560
- HahnSeriesstatement and proof · cited by 528
- ZeroHomClassstatement and proof · cited by 74
- HahnSeries.mapstatement and proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.map_Cproof · cited by 0