Theorems · Theorem · ring theory
Algebra.botEquiv_symm_apply
∀ (F : Type u_1) (R : Type u_2) [inst : Field F] [inst_1 : Semiring R] [inst_2 : Nontrivial R] [inst_3 : Algebra F R] (a : F), (Algebra.botEquiv F R).symm a = (algebraMap F ↥⊥) a
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Bot.botstatement · cited by 4,720
- Algebra.algebraMapstatement · cited by 4,706
- Nontrivialstatement and proof · cited by 2,416
- AlgEquivstatement · cited by 1,681
- Subalgebrastatement · cited by 1,353
- AlgEquiv.symmstatement and proof · cited by 615
- Algebra.botEquivstatement and proof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.