Theorems · Theorem · general algebraic systems
DFinsupp.filter.congr_simp
∀ {ι : Type u} {β : ι → Type v} [inst : (i : ι) → Zero (β i)] (p p_1 : ι → Prop),
p = p_1 →
∀ {inst_1 : DecidablePred p} [inst_2 : DecidablePred p_1] (x x_1 : Π₀ (i : ι), β i),
x = x_1 → DFinsupp.filter p x = DFinsupp.filter p_1 x_1- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- ZeroDecidablePred
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.
- DFinsuppstatement and proof · cited by 694
- DFinsupp.filterstatement and proof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- DFinsupp.filter_eq'proof · cited by 0