Theorems · Theorem · commutative algebra
MvPowerSeries.substAlgHom.congr_simp
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] {τ : Type u_4} {S : Type u_5} [inst_1 : CommRing S]
[inst_2 : Algebra R S] {a a_1 : σ → MvPowerSeries τ S} (e_a : a = a_1) (ha : MvPowerSeries.HasSubst a),
MvPowerSeries.substAlgHom ha = MvPowerSeries.substAlgHom ⋯- Cited by
- 5 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Algebrastatement and proof · cited by 11,388
- AlgHomstatement · cited by 3,236
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.HasSubststatement and proof · cited by 74
- MvPowerSeries.substAlgHomstatement and proof · cited by 24
Cited by5
Results whose statement or proof uses this declaration.
- MvPowerSeries.expand_oneproof · cited by 3
- MvPowerSeries.expand_mul_eq_compproof · cited by 2
- MvPowerSeries.subst_comp_substproof · cited by 1
- MvPowerSeries.expand_comp_substAlgHomproof · cited by 1
- MvPowerSeries.rescaleAlgHom_oneproof · cited by 0