Theorems · Theorem · general algebraic systems
Finsupp.subtypeDomain_eq_iff
∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] {p : α → Prop} {f g : α →₀ M},
(∀ x ∈ f.support, p x) → (∀ x ∈ g.support, p x) → (Finsupp.subtypeDomain p f = Finsupp.subtypeDomain p g ↔ f = g)- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsetstatement · cited by 13,712
- Finsuppstatement and proof · cited by 5,255
- Finsupp.supportstatement and proof · cited by 828
- Finsupp.extproof · cited by 399
- emproof · cited by 115
- Finsupp.notMem_support_iffproof · cited by 44
- Finsupp.subtypeDomainstatement · cited by 26
- Finsupp.subtypeDomain_eq_iff_forallproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- linearIndepOn_iffₛproof · cited by 3
- Finsupp.subtypeDomain_eq_zero_iffproof · cited by 0