Theorems · Theorem
DFunLike.congr_fun
∀ {F : Sort u_1} {α : Sort u_2} {β : α → Sort u_3} [i : DFunLike F α β] {f g : F}, f = g → ∀ (x : α), f x = g x- Defined in
- Mathlib.Data.FunLike.Basic
- Cited by
- 288 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 5 definitions · uses no axioms
- Assumes
- DFunLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- DFunLikestatement and proof · cited by 576
Cited by288
Results whose statement or proof uses this declaration.
- LinearMap.congr_funproof · cited by 96
- AlgHom.congr_funproof · cited by 40
- RingHom.congr_funproof · cited by 29
- Finsupp.sum_singleproof · cited by 19
- Matrix.det_fromBlocks_zero₂₁proof · cited by 10
- LinearMap.toAddMonoidHom_injectiveproof · cited by 10
- Monoid.CoprodI.lift_ofproof · cited by 8
- TensorProduct.map_mapproof · cited by 8
- exteriorPower.alternatingMapLinearEquiv_apply_ιMultiproof · cited by 8
- exteriorPower.linearMap_extproof · cited by 8
- RingHom.coe_addMonoidHom_injectiveproof · cited by 7
- Algebra.FormallyUnramified.finite_of_freeproof · cited by 7
Showing the 200 most cited of 288.