Theorems · Theorem · commutative algebra
WithIdeal.uniformEquiv.congr_simp
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : WithIdeal R] {S : Type u_2} [inst_2 : CommRing S] [inst_3 : WithIdeal S]
(e e_1 : R ≃+* S) (e_e : e = e_1) (h : Ideal.map e.toRingHom WithIdeal.i = WithIdeal.i),
WithIdeal.uniformEquiv e h = WithIdeal.uniformEquiv e_1 ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Idealstatement · cited by 4,748
- RingEquivstatement and proof · cited by 1,147
- Ideal.mapstatement and proof · cited by 692
- RingEquiv.toRingHomstatement and proof · cited by 150
- UniformEquivstatement · cited by 80
- WithIdealstatement and proof · cited by 5
- WithIdeal.istatement and proof · cited by 3
- WithIdeal.uniformEquivstatement and proof · cited by 3
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