Theorems · Theorem · field theory
AlgHom.equivFieldRange_apply
Deprecated since 2026-06-20Use AlgHom.equivFieldRange_apply_coe instead.
∀ {K : Type u_1} {L : Type u_2} {L' : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Field L']
[inst_3 : Algebra K L] [inst_4 : Algebra K L'] (f : L →ₐ[K] L') (a : L), ↑(f.equivFieldRange a) = f aAlias of AlgHom.equivFieldRange_apply_coe.
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- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Algebrastatement · cited by 11,388
- Fieldstatement · cited by 7,404
- AlgHomstatement · cited by 3,236
- AlgEquivstatement · cited by 1,681
- IntermediateFieldstatement · cited by 988
- AlgHom.fieldRangestatement · cited by 57
- AlgHom.equivFieldRangestatement · cited by 4
- AlgHom.equivFieldRange_apply_coeproof · cited by 2
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