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Theorems · Theorem · number theory

GenContFract.nums_stable_of_terminated

∀ {K : Type u_1} {g : GenContFract K} {n m : ℕ} [inst : DivisionRing K], n ≤ m → g.TerminatedAt n → g.nums m = g.nums n
Defined in
Mathlib.Algebra.ContinuedFractions.TerminatedStable
Cited by
2 results in Mathlib
Foundations
Depth 52 from the axioms · uses propext, Quot.sound
Assumes
DivisionRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

GenContFract.convs_stable_of_terminated · cited by 4GenContFract.convs_stable…GenContFract.determinant · cited by 1GenContFract.determinantDivisionRing · cited by 1062DivisionRingGenContFract · cited by 68GenContFractGenContFract.Pair.a · cited by 43Pair.aGenContFract.TerminatedAt · cited by 30GenContFract.TerminatedAtGenContFract.conts · cited by 18GenContFract.contsGenContFract.nums · cited by 12GenContFract.numsGenContFract.conts_stable_of_terminated · cited by 2GenContFract.conts_stable…GenContFract.nums_stable_of_t…CITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.