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Theorems · Definition · number theory

CongruenceSubgroup.Gamma0

ℕ → Subgroup (Matrix.SpecialLinearGroup (Fin 2) ℤ)

The congruence subgroup of SL(2, ℤ) of matrices whose lower left-hand entry reduces to zero modulo N.

Defined in
Mathlib.NumberTheory.ModularForms.CongruenceSubgroups
Cited by
8 results in Mathlib
Foundations
Depth 105 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.

CongruenceSubgroup.Gamma1 · cited by 6CongruenceSubgroup.Gamma1CongruenceSubgroup.Gamma1' · cited by 3CongruenceSubgroup.Gamma1'CongruenceSubgroup.Gamma0Map · cited by 1CongruenceSubgroup.Gamma0…CongruenceSubgroup.Gamma0_mem · cited by 1CongruenceSubgroup.Gamma0…CongruenceSubgroup.Gamma1_in_Gamma0 · cited by 1CongruenceSubgroup.Gamma1…CongruenceSubgroup.Gamma1_to_Gamma0_mem · cited by 1CongruenceSubgroup.Gamma1…CongruenceSubgroup.Gamma1_mem · cited by 0CongruenceSubgroup.Gamma1…CongruenceSubgroup.Gamma0_is_congruence · cited by 0CongruenceSubgroup.Gamma0…CongruenceSubgroup.strictPeriods_Gamma0 · cited by 0CongruenceSubgroup.strict…CongruenceSubgroup.strictWidthInfty_Gamma0 · cited by 0CongruenceSubgroup.strict…CongruenceSubgroup.Gamma1_mem' · cited by 0CongruenceSubgroup.Gamma1…Set.ofPred · cited by 6101Set.ofPredSubgroup · cited by 3593SubgroupMatrix.SpecialLinearGroup · cited by 348Matrix.SpecialLinearGroupCongruenceSubgroup.Gamma0CITED BYCITES

Cites3

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Cited by11

Results whose statement or proof uses this declaration.