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Theorems · Theorem · number theory

LiouvilleWith.add_rat_iff

∀ {p x : ℝ} {r : ℚ}, LiouvilleWith p (x + ↑r) ↔ LiouvilleWith p x
Defined in
Mathlib.NumberTheory.Transcendental.Liouville.LiouvilleWith
Cited by
4 results in Mathlib
Foundations
Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

LiouvilleWith.sub_rat_iff · cited by 3LiouvilleWith.sub_rat_iffLiouvilleWith.add_int_iff · cited by 2LiouvilleWith.add_int_iffLiouvilleWith.add_nat_iff · cited by 1LiouvilleWith.add_nat_iffLiouvilleWith.rat_add_iff · cited by 0LiouvilleWith.rat_add_iffReal · cited by 25697Realadd_neg_cancel_right · cited by 65add_neg_cancel_rightLiouvilleWith · cited by 52LiouvilleWithRat.cast_neg · cited by 25Rat.cast_negLiouvilleWith.add_rat · cited by 2LiouvilleWith.add_ratLiouvilleWith.add_rat_iffCITED BYCITES

Cites5

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Cited by4

Results whose statement or proof uses this declaration.