Theorems · Theorem · general algebraic systems
Finsupp.subtypeDomain_eq_iff_forall
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {p : α → Prop} {f g : α →₀ M},
Finsupp.subtypeDomain p f = Finsupp.subtypeDomain p g ↔ ∀ (x : α), p x → f x = g x- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finsupp.subtypeDomainstatement · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.subtypeDomain_eq_iffproof · cited by 2
- Finsupp.subtypeDomain_eq_zero_iff'proof · cited by 0