Theorems · Theorem · order theory
SignType.map_cast
∀ {α : Type u_2} {β : Type u_3} {F : Type u_4} [inst : AddGroupWithOne α] [inst_1 : One β]
[inst_2 : SubtractionMonoid β] [inst_3 : FunLike F α β] [AddMonoidHomClass F α β] [OneHomClass F α β] (f : F)
(s : SignType), f ↑s = ↑sCasting out of SignType respects composition with suitable bundled homomorphism types.
- Defined in
- Mathlib.Data.Sign.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- FunLikestatement and proof · cited by 2,560
- map_zeroproof · cited by 1,614
- map_oneproof · cited by 861
- map_negproof · cited by 378
- SignTypestatement and proof · cited by 318
- AddMonoidHomClassstatement and proof · cited by 252
- SubtractionMonoidstatement and proof · cited by 208
- AddGroupWithOnestatement and proof · cited by 111
- SignType.caststatement · cited by 76
- OneHomClassstatement and proof · cited by 38
- SignType.map_cast'proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- hasSum_mellin_pi_mul_sq'proof · cited by 2