Theorems · Theorem · number theory
Zsqrtd.sqLe_cancel
∀ {c d x y z w : ℕ}, Zsqrtd.SqLe y d x c → Zsqrtd.SqLe (x + z) c (y + w) d → Zsqrtd.SqLe z c w d- Defined in
- Mathlib.NumberTheory.Zsqrtd.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- le_reflproof · cited by 2,061
- mul_assocproof · cited by 1,667
- le_of_ltproof · cited by 1,175
- add_assocproof · cited by 746
- add_le_addproof · cited by 666
- le_of_not_gtproof · cited by 430
- mul_addproof · cited by 413
- mul_left_commproof · cited by 184
- not_le_of_gtproof · cited by 97
- lt_imp_lt_of_le_of_leproof · cited by 53
- add_lt_add_rightproof · cited by 50
Cited by1
Results whose statement or proof uses this declaration.
- Zsqrtd.nonneg_add_lemproof · cited by 1