2015-11-21 01:03:17 +00:00
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x = y → true
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T → x = y → true
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∀ (a : T), x = a → a = y
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∀ (a : T), a = x → true
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T → T → x = y → true
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2015-11-07 20:54:01 +00:00
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T → T → x = y → P y
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(∀ (x : T), P x ↔ Q x) → Q x
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Prop → (∀ (x : T), P x ↔ Q x) → Prop → Q x
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2015-11-21 01:03:17 +00:00
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∀ (a : Prop), (∀ (x : T), P x ↔ Q x) → a ∨ Q x
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2015-11-07 20:54:01 +00:00
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(∀ (x : T), P x ↔ Q x) → Q x
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2015-11-21 01:03:17 +00:00
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∀ (a : T), T → (∀ (x : T), P x ↔ Q x) → Q a
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∀ (a a_1 : T), a = a_1 → P a_1
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∀ (a a_1 a_2 : T), a = a_1 → a_1 = a_2 → P a_2
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∀ (a a_1 : T), a = a_1 → (∀ (w : T), P w ↔ Q w) → Q a_1
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