Theorems · Theorem · field theory
RingHom.rangeRestrictFieldEquiv_apply_symm_apply
∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] (f : K →+* L) (x : ↥f.fieldRange),
f (f.rangeRestrictFieldEquiv.symm x) = ↑x- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingDivisionRing
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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
- RingEquivstatement · cited by 1,147
- DivisionRingstatement and proof · cited by 1,062
- RingEquiv.symmstatement and proof · cited by 567
- Subfieldstatement · cited by 303
- RingEquiv.apply_symm_applyproof · cited by 53
- RingHom.fieldRangestatement and proof · cited by 40
- RingHom.rangeRestrictFieldEquivstatement and proof · cited by 2
- RingHom.rangeRestrictFieldEquiv_apply_coeproof · cited by 1
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