Theorems · Theorem · field theory
RingHom.rangeRestrictField_bijective
∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] (f : K →+* L),
Function.Bijective ⇑f.rangeRestrictField- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingDivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- RingHomstatement and proof · cited by 10,189
- DivisionRingstatement and proof · cited by 1,062
- Function.Bijectivestatement · cited by 863
- Subfieldstatement · cited by 303
- RingHom.injectiveproof · cited by 187
- Equiv.bijectiveproof · cited by 132
- Equiv.ofInjectiveproof · cited by 64
- RingHom.fieldRangestatement · cited by 40
- RingHom.rangeRestrictFieldstatement · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- RingHom.rangeRestrictFieldEquivproof · cited by 2
- Subfield.card_botproof · cited by 2