Theorems · Theorem · general algebraic systems
Finsupp.extendDomain_single
∀ {α : Type u_1} {M : Type u_12} [inst : Zero M] {P : α → Prop} [inst_1 : DecidablePred P] (a : Subtype P) (m : M),
(fun₀ | a => m).extendDomain = fun₀ | ↑a => m- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroDecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement · cited by 5,255
- eq_or_neproof · cited by 1,117
- Finsupp.singlestatement · cited by 943
- Subtype.propproof · cited by 505
- Function.updateproof · cited by 502
- Finsupp.extproof · cited by 399
- Subtype.coe_etaproof · cited by 110
- Finsupp.extendDomainstatement · cited by 11
- Finsupp.extendDomain_applyproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.supportedEquivFinsupp_symm_singleproof · cited by 1
- Finsupp.restrictSupportEquiv_symm_singleproof · cited by 0