Theorems · Theorem · general algebraic systems
Finsupp.equivMapDomain_single
∀ {α : Type u_1} {β : Type u_2} {M : Type u_5} [inst : Zero M] (f : α ≃ β) (a : α) (b : M),
(Finsupp.equivMapDomain f fun₀ | a => b) = fun₀ | f a => b- Defined in
- Mathlib.Data.Finsupp.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 61 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.
Cites8
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
- Finsuppstatement · cited by 5,255
- Equiv.symmproof · cited by 3,681
- Finsupp.singlestatement · cited by 943
- Finsupp.extproof · cited by 399
- Finsupp.single_applyproof · cited by 99
- Finsupp.equivMapDomainstatement · cited by 35
Cited by11
Results whose statement or proof uses this declaration.
- Finsupp.lcongr_singleproof · cited by 12
- groupHomology.comp_d₁₀_eqproof · cited by 6
- Finsupp.domLCongr_singleproof · cited by 3
- groupHomology.chainsMap_f_1_comp_chainsIso₁proof · cited by 3
- groupHomology.chainsMap_f_2_comp_chainsIso₂proof · cited by 3
- groupHomology.chainsMap_f_3_comp_chainsIso₃proof · cited by 2
- MonoidAlgebra.mapDomainLinearEquiv_singleproof · cited by 2
- Representation.leftRegularTensorTrivialIsoFree_symm_apply_single_singleproof · cited by 1
- SkewMonoidAlgebra.equivMapDomain_singleproof · cited by 1
- AddMonoidAlgebra.mapDomainLinearEquiv_singleproof · cited by 0
- Representation.leftRegularTensorTrivialIsoFree_apply_single_tmul_singleproof · cited by 0