Theorems · Theorem · ring theory
RingEquiv.ofBijective_symm_comp
∀ {R : Type u_4} {S : Type u_5} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S]
(f : R →ₙ+* S) (hf : Function.Bijective ⇑f), (↑(RingEquiv.ofBijective f hf).symm).comp f = NonUnitalRingHom.id R- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- RingEquivstatement · cited by 1,147
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Function.Bijectivestatement and proof · cited by 863
- RingEquiv.symmstatement and proof · cited by 567
- NonUnitalRingHomstatement and proof · cited by 157
- RingEquiv.apply_symm_applyproof · cited by 53
- RingEquiv.injectiveproof · cited by 39
- NonUnitalRingHom.compstatement and proof · cited by 38
- NonUnitalRingHomClass.toNonUnitalRingHomstatement and proof · cited by 26
- RingEquiv.ofBijectivestatement and proof · cited by 24
- NonUnitalRingHom.extproof · cited by 21
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