Theorems · Definition · general algebraic systems
DFinsupp.equivCongrLeft
{ι : Type u} →
{β : ι → Type v} →
{κ : Type u_1} → [inst : (i : ι) → Zero (β i)] → (h : ι ≃ κ) → (Π₀ (i : ι), β i) ≃ Π₀ (k : κ), β (h.symm k)Reindexing terms of a dfinsupp.
This is the dfinsupp version of Equiv.piCongrLeft'.
- Defined in
- Mathlib.Data.DFinsupp.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 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.coestatement and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- DFinsuppstatement and proof · cited by 694
- Equiv.right_invproof · cited by 68
- Equiv.left_invproof · cited by 59
- DFinsupp.mapRangeproof · cited by 29
- Equiv.castproof · cited by 16
- DFinsupp.comapDomain'proof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- DirectSum.equivCongrLeftproof · cited by 3
- DFinsupp.domLCongrproof · cited by 2
- DFinsupp.equivCongrLeft_applystatement and proof · cited by 0